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Simplifying x * 3x = 7.5(6x + 2x) Reorder the terms for easier multiplication: 3x * x = 7.5(6x + 2x) Multiply x * x 3x2 = 7.5(6x + 2x) Combine like terms: 6x + 2x = 8x 3x2 = 7.5(8x) Remove parenthesis around (8x) 3x2 = 7.5 * 8x Multiply 7.5 * 8 3x2 = 60x Solving 3x2 = 60x Solving for variable 'x'. Reorder the terms: -60x + 3x2 = 60x + -60x Combine like terms: 60x + -60x = 0 -60x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-20 + x) = 0 Ignore the factor 3.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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20Solution
x = {0, 20}
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