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Simplifying 6x2 + 32x + 32 = 70 Reorder the terms: 32 + 32x + 6x2 = 70 Solving 32 + 32x + 6x2 = 70 Solving for variable 'x'. Reorder the terms: 32 + -70 + 32x + 6x2 = 70 + -70 Combine like terms: 32 + -70 = -38 -38 + 32x + 6x2 = 70 + -70 Combine like terms: 70 + -70 = 0 -38 + 32x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-19 + 16x + 3x2) = 0 Factor a trinomial. 2((-19 + -3x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-19 + -3x)' equal to zero and attempt to solve: Simplifying -19 + -3x = 0 Solving -19 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -3x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -3x = 0 + 19 -3x = 0 + 19 Combine like terms: 0 + 19 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-6.333333333, 1}
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