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Simplifying 3x2 + 8x + -11x2 + -14x = 0 Reorder the terms: 8x + -14x + 3x2 + -11x2 = 0 Combine like terms: 8x + -14x = -6x -6x + 3x2 + -11x2 = 0 Combine like terms: 3x2 + -11x2 = -8x2 -6x + -8x2 = 0 Solving -6x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(3 + 4x) = 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 '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {0, -0.75}
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