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Simplifying 3x(x + -5) * over(2x + 1)(x + -5) = 3x(x + -5) * over(2x + 1)(x + -5) Reorder the terms: 3x(-5 + x) * over(2x + 1)(x + -5) = 3x(x + -5) * over(2x + 1)(x + -5) Reorder the terms: 3x(-5 + x) * eorv(1 + 2x)(x + -5) = 3x(x + -5) * over(2x + 1)(x + -5) Reorder the terms: 3x(-5 + x) * eorv(1 + 2x)(-5 + x) = 3x(x + -5) * over(2x + 1)(x + -5) Reorder the terms for easier multiplication: 3x * eorv(-5 + x)(1 + 2x)(-5 + x) = 3x(x + -5) * over(2x + 1)(x + -5) Multiply x * eorv 3eorvx(-5 + x)(1 + 2x)(-5 + x) = 3x(x + -5) * over(2x + 1)(x + -5) Multiply (-5 + x) * (1 + 2x) 3eorvx(-5(1 + 2x) + x(1 + 2x))(-5 + x) = 3x(x + -5) * over(2x + 1)(x + -5) 3eorvx((1 * -5 + 2x * -5) + x(1 + 2x))(-5 + x) = 3x(x + -5) * over(2x + 1)(x + -5) 3eorvx((-5 + -10x) + x(1 + 2x))(-5 + x) = 3x(x + -5) * over(2x + 1)(x + -5) 3eorvx(-5 + -10x + (1 * x + 2x * x))(-5 + x) = 3x(x + -5) * over(2x + 1)(x + -5) 3eorvx(-5 + -10x + (1x + 2x2))(-5 + x) = 3x(x + -5) * over(2x + 1)(x + -5) Combine like terms: -10x + 1x = -9x 3eorvx(-5 + -9x + 2x2)(-5 + x) = 3x(x + -5) * over(2x + 1)(x + -5) Multiply (-5 + -9x + 2x2) * (-5 + x) 3eorvx(-5(-5 + x) + -9x * (-5 + x) + 2x2 * (-5 + x)) = 3x(x + -5) * over(2x + 1)(x + -5) 3eorvx((-5 * -5 + x * -5) + -9x * (-5 + x) + 2x2 * (-5 + x)) = 3x(x + -5) * over(2x + 1)(x + -5) 3eorvx((25 + -5x) + -9x * (-5 + x) + 2x2 * (-5 + x)) = 3x(x + -5) * over(2x + 1)(x + -5) 3eorvx(25 + -5x + (-5 * -9x + x * -9x) + 2x2 * (-5 + x)) = 3x(x + -5) * over(2x + 1)(x + -5) 3eorvx(25 + -5x + (45x + -9x2) + 2x2 * (-5 + x)) = 3x(x + -5) * over(2x + 1)(x + -5) 3eorvx(25 + -5x + 45x + -9x2 + (-5 * 2x2 + x * 2x2)) = 3x(x + -5) * over(2x + 1)(x + -5) 3eorvx(25 + -5x + 45x + -9x2 + (-10x2 + 2x3)) = 3x(x + -5) * over(2x + 1)(x + -5) Combine like terms: -5x + 45x = 40x 3eorvx(25 + 40x + -9x2 + -10x2 + 2x3) = 3x(x + -5) * over(2x + 1)(x + -5) Combine like terms: -9x2 + -10x2 = -19x2 3eorvx(25 + 40x + -19x2 + 2x3) = 3x(x + -5) * over(2x + 1)(x + -5) (25 * 3eorvx + 40x * 3eorvx + -19x2 * 3eorvx + 2x3 * 3eorvx) = 3x(x + -5) * over(2x + 1)(x + -5) (75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4) = 3x(x + -5) * over(2x + 1)(x + -5) Reorder the terms: 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3x(-5 + x) * over(2x + 1)(x + -5) Reorder the terms: 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3x(-5 + x) * eorv(1 + 2x)(x + -5) Reorder the terms: 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3x(-5 + x) * eorv(1 + 2x)(-5 + x) Reorder the terms for easier multiplication: 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3x * eorv(-5 + x)(1 + 2x)(-5 + x) Multiply x * eorv 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(-5 + x)(1 + 2x)(-5 + x) Multiply (-5 + x) * (1 + 2x) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(-5(1 + 2x) + x(1 + 2x))(-5 + x) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx((1 * -5 + 2x * -5) + x(1 + 2x))(-5 + x) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx((-5 + -10x) + x(1 + 2x))(-5 + x) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(-5 + -10x + (1 * x + 2x * x))(-5 + x) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(-5 + -10x + (1x + 2x2))(-5 + x) Combine like terms: -10x + 1x = -9x 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(-5 + -9x + 2x2)(-5 + x) Multiply (-5 + -9x + 2x2) * (-5 + x) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(-5(-5 + x) + -9x * (-5 + x) + 2x2 * (-5 + x)) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx((-5 * -5 + x * -5) + -9x * (-5 + x) + 2x2 * (-5 + x)) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx((25 + -5x) + -9x * (-5 + x) + 2x2 * (-5 + x)) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(25 + -5x + (-5 * -9x + x * -9x) + 2x2 * (-5 + x)) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(25 + -5x + (45x + -9x2) + 2x2 * (-5 + x)) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(25 + -5x + 45x + -9x2 + (-5 * 2x2 + x * 2x2)) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(25 + -5x + 45x + -9x2 + (-10x2 + 2x3)) Combine like terms: -5x + 45x = 40x 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(25 + 40x + -9x2 + -10x2 + 2x3) Combine like terms: -9x2 + -10x2 = -19x2 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 3eorvx(25 + 40x + -19x2 + 2x3) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = (25 * 3eorvx + 40x * 3eorvx + -19x2 * 3eorvx + 2x3 * 3eorvx) 75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = (75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4) Add '-75eorvx' to each side of the equation. 75eorvx + 120eorvx2 + -57eorvx3 + -75eorvx + 6eorvx4 = 75eorvx + 120eorvx2 + -57eorvx3 + -75eorvx + 6eorvx4 Reorder the terms: 75eorvx + -75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 = 75eorvx + 120eorvx2 + -57eorvx3 + -75eorvx + 6eorvx4 Combine like terms: 75eorvx + -75eorvx = 0 0 + 120eorvx2 + -57eorvx3 + 6eorvx4 = 75eorvx + 120eorvx2 + -57eorvx3 + -75eorvx + 6eorvx4 120eorvx2 + -57eorvx3 + 6eorvx4 = 75eorvx + 120eorvx2 + -57eorvx3 + -75eorvx + 6eorvx4 Reorder the terms: 120eorvx2 + -57eorvx3 + 6eorvx4 = 75eorvx + -75eorvx + 120eorvx2 + -57eorvx3 + 6eorvx4 Combine like terms: 75eorvx + -75eorvx = 0 120eorvx2 + -57eorvx3 + 6eorvx4 = 0 + 120eorvx2 + -57eorvx3 + 6eorvx4 120eorvx2 + -57eorvx3 + 6eorvx4 = 120eorvx2 + -57eorvx3 + 6eorvx4 Add '-120eorvx2' to each side of the equation. 120eorvx2 + -57eorvx3 + -120eorvx2 + 6eorvx4 = 120eorvx2 + -57eorvx3 + -120eorvx2 + 6eorvx4 Reorder the terms: 120eorvx2 + -120eorvx2 + -57eorvx3 + 6eorvx4 = 120eorvx2 + -57eorvx3 + -120eorvx2 + 6eorvx4 Combine like terms: 120eorvx2 + -120eorvx2 = 0 0 + -57eorvx3 + 6eorvx4 = 120eorvx2 + -57eorvx3 + -120eorvx2 + 6eorvx4 -57eorvx3 + 6eorvx4 = 120eorvx2 + -57eorvx3 + -120eorvx2 + 6eorvx4 Reorder the terms: -57eorvx3 + 6eorvx4 = 120eorvx2 + -120eorvx2 + -57eorvx3 + 6eorvx4 Combine like terms: 120eorvx2 + -120eorvx2 = 0 -57eorvx3 + 6eorvx4 = 0 + -57eorvx3 + 6eorvx4 -57eorvx3 + 6eorvx4 = -57eorvx3 + 6eorvx4 Add '57eorvx3' to each side of the equation. -57eorvx3 + 57eorvx3 + 6eorvx4 = -57eorvx3 + 57eorvx3 + 6eorvx4 Combine like terms: -57eorvx3 + 57eorvx3 = 0 0 + 6eorvx4 = -57eorvx3 + 57eorvx3 + 6eorvx4 6eorvx4 = -57eorvx3 + 57eorvx3 + 6eorvx4 Combine like terms: -57eorvx3 + 57eorvx3 = 0 6eorvx4 = 0 + 6eorvx4 6eorvx4 = 6eorvx4 Add '-6eorvx4' to each side of the equation. 6eorvx4 + -6eorvx4 = 6eorvx4 + -6eorvx4 Combine like terms: 6eorvx4 + -6eorvx4 = 0 0 = 6eorvx4 + -6eorvx4 Combine like terms: 6eorvx4 + -6eorvx4 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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