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Simplifying 11x2 + -12x + 4 = 3x + 4 Reorder the terms: 4 + -12x + 11x2 = 3x + 4 Reorder the terms: 4 + -12x + 11x2 = 4 + 3x Add '-4' to each side of the equation. 4 + -12x + -4 + 11x2 = 4 + -4 + 3x Reorder the terms: 4 + -4 + -12x + 11x2 = 4 + -4 + 3x Combine like terms: 4 + -4 = 0 0 + -12x + 11x2 = 4 + -4 + 3x -12x + 11x2 = 4 + -4 + 3x Combine like terms: 4 + -4 = 0 -12x + 11x2 = 0 + 3x -12x + 11x2 = 3x Solving -12x + 11x2 = 3x Solving for variable 'x'. Reorder the terms: -12x + -3x + 11x2 = 3x + -3x Combine like terms: -12x + -3x = -15x -15x + 11x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -15x + 11x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-15 + 11x) = 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 '(-15 + 11x)' equal to zero and attempt to solve: Simplifying -15 + 11x = 0 Solving -15 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 11x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = 0 + 15 11x = 0 + 15 Combine like terms: 0 + 15 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364Solution
x = {0, 1.363636364}
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