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Simplifying 9x = 10x * 10x Reorder the terms for easier multiplication: 9x = 10 * 10x * x Multiply 10 * 10 9x = 100x * x Multiply x * x 9x = 100x2 Solving 9x = 100x2 Solving for variable 'x'. Combine like terms: 100x2 + -100x2 = 0 9x + -100x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(9 + -100x) = 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 '(9 + -100x)' equal to zero and attempt to solve: Simplifying 9 + -100x = 0 Solving 9 + -100x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -100x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -100x = 0 + -9 -100x = 0 + -9 Combine like terms: 0 + -9 = -9 -100x = -9 Divide each side by '-100'. x = 0.09 Simplifying x = 0.09Solution
x = {0, 0.09}
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