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Simplifying 5x2 + -24x + 36 = 569 Reorder the terms: 36 + -24x + 5x2 = 569 Solving 36 + -24x + 5x2 = 569 Solving for variable 'x'. Reorder the terms: 36 + -569 + -24x + 5x2 = 569 + -569 Combine like terms: 36 + -569 = -533 -533 + -24x + 5x2 = 569 + -569 Combine like terms: 569 + -569 = 0 -533 + -24x + 5x2 = 0 Factor a trinomial. (-41 + -5x)(13 + -1x) = 0Subproblem 1
Set the factor '(-41 + -5x)' equal to zero and attempt to solve: Simplifying -41 + -5x = 0 Solving -41 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -5x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -5x = 0 + 41 -5x = 0 + 41 Combine like terms: 0 + 41 = 41 -5x = 41 Divide each side by '-5'. x = -8.2 Simplifying x = -8.2Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-8.2, 13}
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