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Simplifying 126x2 + -32x + -28 = -2x + 8 Reorder the terms: -28 + -32x + 126x2 = -2x + 8 Reorder the terms: -28 + -32x + 126x2 = 8 + -2x Solving -28 + -32x + 126x2 = 8 + -2x Solving for variable 'x'. Reorder the terms: -28 + -8 + -32x + 2x + 126x2 = 8 + -2x + -8 + 2x Combine like terms: -28 + -8 = -36 -36 + -32x + 2x + 126x2 = 8 + -2x + -8 + 2x Combine like terms: -32x + 2x = -30x -36 + -30x + 126x2 = 8 + -2x + -8 + 2x Reorder the terms: -36 + -30x + 126x2 = 8 + -8 + -2x + 2x Combine like terms: 8 + -8 = 0 -36 + -30x + 126x2 = 0 + -2x + 2x -36 + -30x + 126x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -36 + -30x + 126x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-6 + -5x + 21x2) = 0 Factor a trinomial. 6((-3 + -7x)(2 + -3x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + -7x)' equal to zero and attempt to solve: Simplifying -3 + -7x = 0 Solving -3 + -7x = 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 + -7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 0 + 3 -7x = 0 + 3 Combine like terms: 0 + 3 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286Subproblem 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 = {-0.4285714286, 0.6666666667}
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