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Simplifying 4x2 + -27x + 15 = -7x + 6 Reorder the terms: 15 + -27x + 4x2 = -7x + 6 Reorder the terms: 15 + -27x + 4x2 = 6 + -7x Solving 15 + -27x + 4x2 = 6 + -7x Solving for variable 'x'. Reorder the terms: 15 + -6 + -27x + 7x + 4x2 = 6 + -7x + -6 + 7x Combine like terms: 15 + -6 = 9 9 + -27x + 7x + 4x2 = 6 + -7x + -6 + 7x Combine like terms: -27x + 7x = -20x 9 + -20x + 4x2 = 6 + -7x + -6 + 7x Reorder the terms: 9 + -20x + 4x2 = 6 + -6 + -7x + 7x Combine like terms: 6 + -6 = 0 9 + -20x + 4x2 = 0 + -7x + 7x 9 + -20x + 4x2 = -7x + 7x Combine like terms: -7x + 7x = 0 9 + -20x + 4x2 = 0 Factor a trinomial. (1 + -2x)(9 + -2x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {0.5, 4.5}
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