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Simplifying 15x2 + 11x + -12 = -12 Reorder the terms: -12 + 11x + 15x2 = -12 Add '12' to each side of the equation. -12 + 11x + 12 + 15x2 = -12 + 12 Reorder the terms: -12 + 12 + 11x + 15x2 = -12 + 12 Combine like terms: -12 + 12 = 0 0 + 11x + 15x2 = -12 + 12 11x + 15x2 = -12 + 12 Combine like terms: -12 + 12 = 0 11x + 15x2 = 0 Solving 11x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 15x) = 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 '(11 + 15x)' equal to zero and attempt to solve: Simplifying 11 + 15x = 0 Solving 11 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 15x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 15x = 0 + -11 15x = 0 + -11 Combine like terms: 0 + -11 = -11 15x = -11 Divide each side by '15'. x = -0.7333333333 Simplifying x = -0.7333333333Solution
x = {0, -0.7333333333}
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