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Simplifying 12x2 + 3x + 7x2 = -9x + 23x Reorder the terms: 3x + 12x2 + 7x2 = -9x + 23x Combine like terms: 12x2 + 7x2 = 19x2 3x + 19x2 = -9x + 23x Combine like terms: -9x + 23x = 14x 3x + 19x2 = 14x Solving 3x + 19x2 = 14x Solving for variable 'x'. Reorder the terms: 3x + -14x + 19x2 = 14x + -14x Combine like terms: 3x + -14x = -11x -11x + 19x2 = 14x + -14x Combine like terms: 14x + -14x = 0 -11x + 19x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 19x) = 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 + 19x)' equal to zero and attempt to solve: Simplifying -11 + 19x = 0 Solving -11 + 19x = 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 + 19x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 19x = 0 + 11 19x = 0 + 11 Combine like terms: 0 + 11 = 11 19x = 11 Divide each side by '19'. x = 0.5789473684 Simplifying x = 0.5789473684Solution
x = {0, 0.5789473684}
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