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Simplifying 6x2 + -7x + -20 = (2x + -5)(3x + 4) Reorder the terms: -20 + -7x + 6x2 = (2x + -5)(3x + 4) Reorder the terms: -20 + -7x + 6x2 = (-5 + 2x)(3x + 4) Reorder the terms: -20 + -7x + 6x2 = (-5 + 2x)(4 + 3x) Multiply (-5 + 2x) * (4 + 3x) -20 + -7x + 6x2 = (-5(4 + 3x) + 2x * (4 + 3x)) -20 + -7x + 6x2 = ((4 * -5 + 3x * -5) + 2x * (4 + 3x)) -20 + -7x + 6x2 = ((-20 + -15x) + 2x * (4 + 3x)) -20 + -7x + 6x2 = (-20 + -15x + (4 * 2x + 3x * 2x)) -20 + -7x + 6x2 = (-20 + -15x + (8x + 6x2)) Combine like terms: -15x + 8x = -7x -20 + -7x + 6x2 = (-20 + -7x + 6x2) Add '20' to each side of the equation. -20 + -7x + 20 + 6x2 = -20 + -7x + 20 + 6x2 Reorder the terms: -20 + 20 + -7x + 6x2 = -20 + -7x + 20 + 6x2 Combine like terms: -20 + 20 = 0 0 + -7x + 6x2 = -20 + -7x + 20 + 6x2 -7x + 6x2 = -20 + -7x + 20 + 6x2 Reorder the terms: -7x + 6x2 = -20 + 20 + -7x + 6x2 Combine like terms: -20 + 20 = 0 -7x + 6x2 = 0 + -7x + 6x2 -7x + 6x2 = -7x + 6x2 Add '7x' to each side of the equation. -7x + 7x + 6x2 = -7x + 7x + 6x2 Combine like terms: -7x + 7x = 0 0 + 6x2 = -7x + 7x + 6x2 6x2 = -7x + 7x + 6x2 Combine like terms: -7x + 7x = 0 6x2 = 0 + 6x2 6x2 = 6x2 Add '-6x2' to each side of the equation. 6x2 + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 0 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 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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