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Simplifying (7x + 6)(x2 + -2x) = 0 Reorder the terms: (6 + 7x)(x2 + -2x) = 0 Reorder the terms: (6 + 7x)(-2x + x2) = 0 Multiply (6 + 7x) * (-2x + x2) (6(-2x + x2) + 7x * (-2x + x2)) = 0 ((-2x * 6 + x2 * 6) + 7x * (-2x + x2)) = 0 ((-12x + 6x2) + 7x * (-2x + x2)) = 0 (-12x + 6x2 + (-2x * 7x + x2 * 7x)) = 0 (-12x + 6x2 + (-14x2 + 7x3)) = 0 Combine like terms: 6x2 + -14x2 = -8x2 (-12x + -8x2 + 7x3) = 0 Solving -12x + -8x2 + 7x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + -8x + 7x2) = 0 Factor a trinomial. x((-6 + -7x)(2 + -1x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-6 + -7x)' equal to zero and attempt to solve: Simplifying -6 + -7x = 0 Solving -6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 0 + 6 -7x = 0 + 6 Combine like terms: 0 + 6 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, -0.8571428571, 2}
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