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Simplifying 6x2 + 5x + -13 = -2x + -13 Reorder the terms: -13 + 5x + 6x2 = -2x + -13 Reorder the terms: -13 + 5x + 6x2 = -13 + -2x Add '13' to each side of the equation. -13 + 5x + 13 + 6x2 = -13 + 13 + -2x Reorder the terms: -13 + 13 + 5x + 6x2 = -13 + 13 + -2x Combine like terms: -13 + 13 = 0 0 + 5x + 6x2 = -13 + 13 + -2x 5x + 6x2 = -13 + 13 + -2x Combine like terms: -13 + 13 = 0 5x + 6x2 = 0 + -2x 5x + 6x2 = -2x Solving 5x + 6x2 = -2x Solving for variable 'x'. Reorder the terms: 5x + 2x + 6x2 = -2x + 2x Combine like terms: 5x + 2x = 7x 7x + 6x2 = -2x + 2x Combine like terms: -2x + 2x = 0 7x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + 6x) = 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 '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667Solution
x = {0, -1.166666667}
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