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Simplifying x(5x + -26 + -63) = 0 Reorder the terms: x(-26 + -63 + 5x) = 0 Combine like terms: -26 + -63 = -89 x(-89 + 5x) = 0 (-89 * x + 5x * x) = 0 (-89x + 5x2) = 0 Solving -89x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-89 + 5x) = 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 '(-89 + 5x)' equal to zero and attempt to solve: Simplifying -89 + 5x = 0 Solving -89 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + 5x = 0 + 89 Combine like terms: -89 + 89 = 0 0 + 5x = 0 + 89 5x = 0 + 89 Combine like terms: 0 + 89 = 89 5x = 89 Divide each side by '5'. x = 17.8 Simplifying x = 17.8Solution
x = {0, 17.8}
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