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Simplifying x2 = 7.5x Solving x2 = 7.5x Solving for variable 'x'. Reorder the terms: -7.5x + x2 = 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -7.5x + x2 = 0.0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7.5 + x) = 0.0Subproblem 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 '(-7.5 + x)' equal to zero and attempt to solve: Simplifying -7.5 + x = 0 Solving -7.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + x = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + x = 0 + 7.5 x = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 x = 7.5 Simplifying x = 7.5Solution
x = {0, 7.5}
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