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Simplifying (5x + -26) * x = 63 Reorder the terms: (-26 + 5x) * x = 63 Reorder the terms for easier multiplication: x(-26 + 5x) = 63 (-26 * x + 5x * x) = 63 (-26x + 5x2) = 63 Solving -26x + 5x2 = 63 Solving for variable 'x'. Reorder the terms: -63 + -26x + 5x2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + -26x + 5x2 = 0 Factor a trinomial. (-9 + -5x)(7 + -1x) = 0Subproblem 1
Set the factor '(-9 + -5x)' equal to zero and attempt to solve: Simplifying -9 + -5x = 0 Solving -9 + -5x = 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 + -5x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 0 + 9 -5x = 0 + 9 Combine like terms: 0 + 9 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-1.8, 7}
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