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Simplifying x(4x + -5) + -1(2x + -7)(3x + 2) = 0 Reorder the terms: x(-5 + 4x) + -1(2x + -7)(3x + 2) = 0 (-5 * x + 4x * x) + -1(2x + -7)(3x + 2) = 0 (-5x + 4x2) + -1(2x + -7)(3x + 2) = 0 Reorder the terms: -5x + 4x2 + -1(-7 + 2x)(3x + 2) = 0 Reorder the terms: -5x + 4x2 + -1(-7 + 2x)(2 + 3x) = 0 Multiply (-7 + 2x) * (2 + 3x) -5x + 4x2 + -1(-7(2 + 3x) + 2x * (2 + 3x)) = 0 -5x + 4x2 + -1((2 * -7 + 3x * -7) + 2x * (2 + 3x)) = 0 -5x + 4x2 + -1((-14 + -21x) + 2x * (2 + 3x)) = 0 -5x + 4x2 + -1(-14 + -21x + (2 * 2x + 3x * 2x)) = 0 -5x + 4x2 + -1(-14 + -21x + (4x + 6x2)) = 0 Combine like terms: -21x + 4x = -17x -5x + 4x2 + -1(-14 + -17x + 6x2) = 0 -5x + 4x2 + (-14 * -1 + -17x * -1 + 6x2 * -1) = 0 -5x + 4x2 + (14 + 17x + -6x2) = 0 Reorder the terms: 14 + -5x + 17x + 4x2 + -6x2 = 0 Combine like terms: -5x + 17x = 12x 14 + 12x + 4x2 + -6x2 = 0 Combine like terms: 4x2 + -6x2 = -2x2 14 + 12x + -2x2 = 0 Solving 14 + 12x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 6x + -1x2) = 0 Factor a trinomial. 2((7 + -1x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {7, -1}
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