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Simplifying 0.5x(8x) = (36x) Remove parenthesis around (8x) 0.5x * 8x = (36x) Reorder the terms for easier multiplication: 0.5 * 8x * x = (36x) Multiply 0.5 * 8 4x * x = (36x) Multiply x * x 4x2 = (36x) Solving 4x2 = (36x) Solving for variable 'x'. Reorder the terms: (-36x) + 4x2 = (36x) + (-36x) Combine like terms: (36x) + (-36x) = 0 (-36x) + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-9 + x) = 0 Ignore the factor 4.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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Solution
x = {0, 9}
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