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Simplifying 112x2 + -2x = 4x + -18x2 Reorder the terms: -2x + 112x2 = 4x + -18x2 Solving -2x + 112x2 = 4x + -18x2 Solving for variable 'x'. Reorder the terms: -2x + -4x + 112x2 + 18x2 = 4x + -18x2 + -4x + 18x2 Combine like terms: -2x + -4x = -6x -6x + 112x2 + 18x2 = 4x + -18x2 + -4x + 18x2 Combine like terms: 112x2 + 18x2 = 130x2 -6x + 130x2 = 4x + -18x2 + -4x + 18x2 Reorder the terms: -6x + 130x2 = 4x + -4x + -18x2 + 18x2 Combine like terms: 4x + -4x = 0 -6x + 130x2 = 0 + -18x2 + 18x2 -6x + 130x2 = -18x2 + 18x2 Combine like terms: -18x2 + 18x2 = 0 -6x + 130x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3 + 65x) = 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 + 65x)' equal to zero and attempt to solve: Simplifying -3 + 65x = 0 Solving -3 + 65x = 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 + 65x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 65x = 0 + 3 65x = 0 + 3 Combine like terms: 0 + 3 = 3 65x = 3 Divide each side by '65'. x = 0.04615384615 Simplifying x = 0.04615384615Solution
x = {0, 0.04615384615}
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