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Simplifying (6x + 7) + -1(-8x2 + -6x + 7) = 0 Reorder the terms: (7 + 6x) + -1(-8x2 + -6x + 7) = 0 Remove parenthesis around (7 + 6x) 7 + 6x + -1(-8x2 + -6x + 7) = 0 Reorder the terms: 7 + 6x + -1(7 + -6x + -8x2) = 0 7 + 6x + (7 * -1 + -6x * -1 + -8x2 * -1) = 0 7 + 6x + (-7 + 6x + 8x2) = 0 Reorder the terms: 7 + -7 + 6x + 6x + 8x2 = 0 Combine like terms: 7 + -7 = 0 0 + 6x + 6x + 8x2 = 0 6x + 6x + 8x2 = 0 Combine like terms: 6x + 6x = 12x 12x + 8x2 = 0 Solving 12x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(3 + 2x) = 0 Ignore the factor 4.Subproblem 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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