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Simplifying 9x2 = 30x + -25 Reorder the terms: 9x2 = -25 + 30x Solving 9x2 = -25 + 30x Solving for variable 'x'. Reorder the terms: 25 + -30x + 9x2 = -25 + 30x + 25 + -30x Reorder the terms: 25 + -30x + 9x2 = -25 + 25 + 30x + -30x Combine like terms: -25 + 25 = 0 25 + -30x + 9x2 = 0 + 30x + -30x 25 + -30x + 9x2 = 30x + -30x Combine like terms: 30x + -30x = 0 25 + -30x + 9x2 = 0 Factor a trinomial. (5 + -3x)(5 + -3x) = 0Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {1.666666667, 1.666666667}
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