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Simplifying 4x2 + 5x + 9 = 17x Reorder the terms: 9 + 5x + 4x2 = 17x Solving 9 + 5x + 4x2 = 17x Solving for variable 'x'. Reorder the terms: 9 + 5x + -17x + 4x2 = 17x + -17x Combine like terms: 5x + -17x = -12x 9 + -12x + 4x2 = 17x + -17x Combine like terms: 17x + -17x = 0 9 + -12x + 4x2 = 0 Factor a trinomial. (3 + -2x)(3 + -2x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {1.5, 1.5}
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