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Simplifying x(5x + -45) = 950 Reorder the terms: x(-45 + 5x) = 950 (-45 * x + 5x * x) = 950 (-45x + 5x2) = 950 Solving -45x + 5x2 = 950 Solving for variable 'x'. Reorder the terms: -950 + -45x + 5x2 = 950 + -950 Combine like terms: 950 + -950 = 0 -950 + -45x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-190 + -9x + x2) = 0 Factor a trinomial. 5((-10 + -1x)(19 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Solution
x = {-10, 19}
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