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Simplifying 9x2 + 30x + 25 = 144 Reorder the terms: 25 + 30x + 9x2 = 144 Solving 25 + 30x + 9x2 = 144 Solving for variable 'x'. Reorder the terms: 25 + -144 + 30x + 9x2 = 144 + -144 Combine like terms: 25 + -144 = -119 -119 + 30x + 9x2 = 144 + -144 Combine like terms: 144 + -144 = 0 -119 + 30x + 9x2 = 0 Factor a trinomial. (-17 + -3x)(7 + -3x) = 0Subproblem 1
Set the factor '(-17 + -3x)' equal to zero and attempt to solve: Simplifying -17 + -3x = 0 Solving -17 + -3x = 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 + -3x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 0 + 17 -3x = 0 + 17 Combine like terms: 0 + 17 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {-5.666666667, 2.333333333}
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