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Simplifying 12x(4x + -3) = x(2x + 1) Reorder the terms: 12x(-3 + 4x) = x(2x + 1) (-3 * 12x + 4x * 12x) = x(2x + 1) (-36x + 48x2) = x(2x + 1) Reorder the terms: -36x + 48x2 = x(1 + 2x) -36x + 48x2 = (1 * x + 2x * x) -36x + 48x2 = (1x + 2x2) Solving -36x + 48x2 = 1x + 2x2 Solving for variable 'x'. Reorder the terms: -36x + -1x + 48x2 + -2x2 = 1x + 2x2 + -1x + -2x2 Combine like terms: -36x + -1x = -37x -37x + 48x2 + -2x2 = 1x + 2x2 + -1x + -2x2 Combine like terms: 48x2 + -2x2 = 46x2 -37x + 46x2 = 1x + 2x2 + -1x + -2x2 Reorder the terms: -37x + 46x2 = 1x + -1x + 2x2 + -2x2 Combine like terms: 1x + -1x = 0 -37x + 46x2 = 0 + 2x2 + -2x2 -37x + 46x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -37x + 46x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-37 + 46x) = 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 '(-37 + 46x)' equal to zero and attempt to solve: Simplifying -37 + 46x = 0 Solving -37 + 46x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 46x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 46x = 0 + 37 46x = 0 + 37 Combine like terms: 0 + 37 = 37 46x = 37 Divide each side by '46'. x = 0.8043478261 Simplifying x = 0.8043478261Solution
x = {0, 0.8043478261}
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