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Simplifying 10x2 = 2x * h Multiply x * h 10x2 = 2hx Solving 10x2 = 2hx Solving for variable 'x'. Reorder the terms: -2hx + 10x2 = 2hx + -2hx Combine like terms: 2hx + -2hx = 0 -2hx + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1h + 5x) = 0 Ignore the factor 2.Subproblem 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 '(-1h + 5x)' equal to zero and attempt to solve: Simplifying -1h + 5x = 0 Solving -1h + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add 'h' to each side of the equation. -1h + h + 5x = 0 + h Combine like terms: -1h + h = 0 0 + 5x = 0 + h 5x = 0 + h Remove the zero: 5x = h Divide each side by '5'. x = 0.2h Simplifying x = 0.2hSolution
x = {0, 0.2h}
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