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Simplifying 10x + 4 = x2 + 4 Reorder the terms: 4 + 10x = x2 + 4 Reorder the terms: 4 + 10x = 4 + x2 Add '-4' to each side of the equation. 4 + -4 + 10x = 4 + -4 + x2 Combine like terms: 4 + -4 = 0 0 + 10x = 4 + -4 + x2 10x = 4 + -4 + x2 Combine like terms: 4 + -4 = 0 10x = 0 + x2 10x = x2 Solving 10x = x2 Solving for variable 'x'. Combine like terms: x2 + -1x2 = 0 10x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(10 + -1x) = 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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {0, 10}
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