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Simplifying 6(x2 + -2) = -2(7x) Reorder the terms: 6(-2 + x2) = -2(7x) (-2 * 6 + x2 * 6) = -2(7x) (-12 + 6x2) = -2(7x) Remove parenthesis around (7x) -12 + 6x2 = -2 * 7x Multiply -2 * 7 -12 + 6x2 = -14x Solving -12 + 6x2 = -14x Solving for variable 'x'. Reorder the terms: -12 + 14x + 6x2 = -14x + 14x Combine like terms: -14x + 14x = 0 -12 + 14x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 7x + 3x2) = 0 Factor a trinomial. 2((-3 + -1x)(2 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-3, 0.6666666667}
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