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Simplifying (7x + 5) + -1(-2x2 + -5x + 5) = 0 Reorder the terms: (5 + 7x) + -1(-2x2 + -5x + 5) = 0 Remove parenthesis around (5 + 7x) 5 + 7x + -1(-2x2 + -5x + 5) = 0 Reorder the terms: 5 + 7x + -1(5 + -5x + -2x2) = 0 5 + 7x + (5 * -1 + -5x * -1 + -2x2 * -1) = 0 5 + 7x + (-5 + 5x + 2x2) = 0 Reorder the terms: 5 + -5 + 7x + 5x + 2x2 = 0 Combine like terms: 5 + -5 = 0 0 + 7x + 5x + 2x2 = 0 7x + 5x + 2x2 = 0 Combine like terms: 7x + 5x = 12x 12x + 2x2 = 0 Solving 12x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(6 + x) = 0 Ignore the factor 2.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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0, -6}
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