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Simplifying x = -10x2 + 130x Reorder the terms: x = 130x + -10x2 Solving x = 130x + -10x2 Solving for variable 'x'. Combine like terms: x + -130x = -129x -129x + 10x2 = 130x + -10x2 + -130x + 10x2 Reorder the terms: -129x + 10x2 = 130x + -130x + -10x2 + 10x2 Combine like terms: 130x + -130x = 0 -129x + 10x2 = 0 + -10x2 + 10x2 -129x + 10x2 = -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 -129x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-129 + 10x) = 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 '(-129 + 10x)' equal to zero and attempt to solve: Simplifying -129 + 10x = 0 Solving -129 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '129' to each side of the equation. -129 + 129 + 10x = 0 + 129 Combine like terms: -129 + 129 = 0 0 + 10x = 0 + 129 10x = 0 + 129 Combine like terms: 0 + 129 = 129 10x = 129 Divide each side by '10'. x = 12.9 Simplifying x = 12.9Solution
x = {0, 12.9}
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