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Simplifying 5x * x = x + -5x * x Multiply x * x 5x2 = x + -5x * x Multiply x * x 5x2 = x + -5x2 Solving 5x2 = x + -5x2 Solving for variable 'x'. Reorder the terms: -1x + 5x2 + 5x2 = x + -5x2 + -1x + 5x2 Combine like terms: 5x2 + 5x2 = 10x2 -1x + 10x2 = x + -5x2 + -1x + 5x2 Reorder the terms: -1x + 10x2 = x + -1x + -5x2 + 5x2 Combine like terms: x + -1x = 0 -1x + 10x2 = 0 + -5x2 + 5x2 -1x + 10x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -1x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 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 '(-1 + 10x)' equal to zero and attempt to solve: Simplifying -1 + 10x = 0 Solving -1 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = 0 + 1 10x = 0 + 1 Combine like terms: 0 + 1 = 1 10x = 1 Divide each side by '10'. x = 0.1 Simplifying x = 0.1Solution
x = {0, 0.1}
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