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Simplifying (3x + -2)(4x + 3) + -1(x + 3)(2x + -5) = (2x + 1)(5x + -2) Reorder the terms: (-2 + 3x)(4x + 3) + -1(x + 3)(2x + -5) = (2x + 1)(5x + -2) Reorder the terms: (-2 + 3x)(3 + 4x) + -1(x + 3)(2x + -5) = (2x + 1)(5x + -2) Multiply (-2 + 3x) * (3 + 4x) (-2(3 + 4x) + 3x * (3 + 4x)) + -1(x + 3)(2x + -5) = (2x + 1)(5x + -2) ((3 * -2 + 4x * -2) + 3x * (3 + 4x)) + -1(x + 3)(2x + -5) = (2x + 1)(5x + -2) ((-6 + -8x) + 3x * (3 + 4x)) + -1(x + 3)(2x + -5) = (2x + 1)(5x + -2) (-6 + -8x + (3 * 3x + 4x * 3x)) + -1(x + 3)(2x + -5) = (2x + 1)(5x + -2) (-6 + -8x + (9x + 12x2)) + -1(x + 3)(2x + -5) = (2x + 1)(5x + -2) Combine like terms: -8x + 9x = 1x (-6 + 1x + 12x2) + -1(x + 3)(2x + -5) = (2x + 1)(5x + -2) Reorder the terms: -6 + 1x + 12x2 + -1(3 + x)(2x + -5) = (2x + 1)(5x + -2) Reorder the terms: -6 + 1x + 12x2 + -1(3 + x)(-5 + 2x) = (2x + 1)(5x + -2) Multiply (3 + x) * (-5 + 2x) -6 + 1x + 12x2 + -1(3(-5 + 2x) + x(-5 + 2x)) = (2x + 1)(5x + -2) -6 + 1x + 12x2 + -1((-5 * 3 + 2x * 3) + x(-5 + 2x)) = (2x + 1)(5x + -2) -6 + 1x + 12x2 + -1((-15 + 6x) + x(-5 + 2x)) = (2x + 1)(5x + -2) -6 + 1x + 12x2 + -1(-15 + 6x + (-5 * x + 2x * x)) = (2x + 1)(5x + -2) -6 + 1x + 12x2 + -1(-15 + 6x + (-5x + 2x2)) = (2x + 1)(5x + -2) Combine like terms: 6x + -5x = 1x -6 + 1x + 12x2 + -1(-15 + 1x + 2x2) = (2x + 1)(5x + -2) -6 + 1x + 12x2 + (-15 * -1 + 1x * -1 + 2x2 * -1) = (2x + 1)(5x + -2) -6 + 1x + 12x2 + (15 + -1x + -2x2) = (2x + 1)(5x + -2) Reorder the terms: -6 + 15 + 1x + -1x + 12x2 + -2x2 = (2x + 1)(5x + -2) Combine like terms: -6 + 15 = 9 9 + 1x + -1x + 12x2 + -2x2 = (2x + 1)(5x + -2) Combine like terms: 1x + -1x = 0 9 + 0 + 12x2 + -2x2 = (2x + 1)(5x + -2) 9 + 12x2 + -2x2 = (2x + 1)(5x + -2) Combine like terms: 12x2 + -2x2 = 10x2 9 + 10x2 = (2x + 1)(5x + -2) Reorder the terms: 9 + 10x2 = (1 + 2x)(5x + -2) Reorder the terms: 9 + 10x2 = (1 + 2x)(-2 + 5x) Multiply (1 + 2x) * (-2 + 5x) 9 + 10x2 = (1(-2 + 5x) + 2x * (-2 + 5x)) 9 + 10x2 = ((-2 * 1 + 5x * 1) + 2x * (-2 + 5x)) 9 + 10x2 = ((-2 + 5x) + 2x * (-2 + 5x)) 9 + 10x2 = (-2 + 5x + (-2 * 2x + 5x * 2x)) 9 + 10x2 = (-2 + 5x + (-4x + 10x2)) Combine like terms: 5x + -4x = 1x 9 + 10x2 = (-2 + 1x + 10x2) Add '-10x2' to each side of the equation. 9 + 10x2 + -10x2 = -2 + 1x + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 9 + 0 = -2 + 1x + 10x2 + -10x2 9 = -2 + 1x + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 9 = -2 + 1x + 0 9 = -2 + 1x Solving 9 = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + -1x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 9 + -1x = -2 + 0 9 + -1x = -2 Add '-9' to each side of the equation. 9 + -9 + -1x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -2 + -9 -1x = -2 + -9 Combine like terms: -2 + -9 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
| 3x-0.5=2.0 | | 5a-7b+-a+4b-9= | | 14x=3+115 | | b=17-a | | 3/4=5x | | Y^2-9=o | | 1-6x+3=17 | | 5x^2+x^3+4x=0 | | 5+ln(x-2)=4 | | 3x+17=9x-7 | | 7(x+4)-14=4(2x+3)-x+2 | | -3x=9(2-3h) | | 10x-8y=4 | | 1/2;6/8 | | -6x+15y=-18 | | X-16=6-x | | 2x-16=3x+7 | | Y=0.6x+1.2 | | 5=cos(4x) | | 48-14x+x^2=0 | | 5m-10=2 | | 2-6*19= | | 5x+4=5x-19 | | 3(2x+4)=5x+2(x+2) | | (4x+6)(5-x)=0 | | 11d+9=4d+37 | | b^3+25b-4000=0 | | 30x+70y=1 | | 6m-10=m+2 | | y=10+0.75x | | -4=-2a-2a^2 | | 9=b-(a/2) |