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Simplifying 0 = 4x2 + -53x + 153 Reorder the terms: 0 = 153 + -53x + 4x2 Solving 0 = 153 + -53x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -153 = -153 -153 + 53x + -4x2 = 153 + -53x + 4x2 + -153 + 53x + -4x2 Reorder the terms: -153 + 53x + -4x2 = 153 + -153 + -53x + 53x + 4x2 + -4x2 Combine like terms: 153 + -153 = 0 -153 + 53x + -4x2 = 0 + -53x + 53x + 4x2 + -4x2 -153 + 53x + -4x2 = -53x + 53x + 4x2 + -4x2 Combine like terms: -53x + 53x = 0 -153 + 53x + -4x2 = 0 + 4x2 + -4x2 -153 + 53x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -153 + 53x + -4x2 = 0 Factor a trinomial. (-9 + x)(17 + -4x) = 0Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
Set the factor '(17 + -4x)' equal to zero and attempt to solve: Simplifying 17 + -4x = 0 Solving 17 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 0 + -17 -4x = 0 + -17 Combine like terms: 0 + -17 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25Solution
x = {9, 4.25}
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