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Simplifying 5x(x + -8) = 15x2 + -41x Reorder the terms: 5x(-8 + x) = 15x2 + -41x (-8 * 5x + x * 5x) = 15x2 + -41x (-40x + 5x2) = 15x2 + -41x Reorder the terms: -40x + 5x2 = -41x + 15x2 Solving -40x + 5x2 = -41x + 15x2 Solving for variable 'x'. Reorder the terms: -40x + 41x + 5x2 + -15x2 = -41x + 15x2 + 41x + -15x2 Combine like terms: -40x + 41x = 1x 1x + 5x2 + -15x2 = -41x + 15x2 + 41x + -15x2 Combine like terms: 5x2 + -15x2 = -10x2 1x + -10x2 = -41x + 15x2 + 41x + -15x2 Reorder the terms: 1x + -10x2 = -41x + 41x + 15x2 + -15x2 Combine like terms: -41x + 41x = 0 1x + -10x2 = 0 + 15x2 + -15x2 1x + -10x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 1x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -10x) = 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 '(1 + -10x)' equal to zero and attempt to solve: Simplifying 1 + -10x = 0 Solving 1 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 0 + -1 -10x = 0 + -1 Combine like terms: 0 + -1 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1Solution
x = {0, 0.1}
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