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Simplifying (6x + 5) + -1(-2x2 + -7x + 5) = 0 Reorder the terms: (5 + 6x) + -1(-2x2 + -7x + 5) = 0 Remove parenthesis around (5 + 6x) 5 + 6x + -1(-2x2 + -7x + 5) = 0 Reorder the terms: 5 + 6x + -1(5 + -7x + -2x2) = 0 5 + 6x + (5 * -1 + -7x * -1 + -2x2 * -1) = 0 5 + 6x + (-5 + 7x + 2x2) = 0 Reorder the terms: 5 + -5 + 6x + 7x + 2x2 = 0 Combine like terms: 5 + -5 = 0 0 + 6x + 7x + 2x2 = 0 6x + 7x + 2x2 = 0 Combine like terms: 6x + 7x = 13x 13x + 2x2 = 0 Solving 13x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(13 + 2x) = 0Subproblem 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 '(13 + 2x)' equal to zero and attempt to solve: Simplifying 13 + 2x = 0 Solving 13 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5Solution
x = {0, -6.5}
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