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Simplifying 4x2 + -27x = -3x2 + -4x + -18 Reorder the terms: -27x + 4x2 = -3x2 + -4x + -18 Reorder the terms: -27x + 4x2 = -18 + -4x + -3x2 Solving -27x + 4x2 = -18 + -4x + -3x2 Solving for variable 'x'. Reorder the terms: 18 + -27x + 4x + 4x2 + 3x2 = -18 + -4x + -3x2 + 18 + 4x + 3x2 Combine like terms: -27x + 4x = -23x 18 + -23x + 4x2 + 3x2 = -18 + -4x + -3x2 + 18 + 4x + 3x2 Combine like terms: 4x2 + 3x2 = 7x2 18 + -23x + 7x2 = -18 + -4x + -3x2 + 18 + 4x + 3x2 Reorder the terms: 18 + -23x + 7x2 = -18 + 18 + -4x + 4x + -3x2 + 3x2 Combine like terms: -18 + 18 = 0 18 + -23x + 7x2 = 0 + -4x + 4x + -3x2 + 3x2 18 + -23x + 7x2 = -4x + 4x + -3x2 + 3x2 Combine like terms: -4x + 4x = 0 18 + -23x + 7x2 = 0 + -3x2 + 3x2 18 + -23x + 7x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 18 + -23x + 7x2 = 0 Factor a trinomial. (9 + -7x)(2 + -1x) = 0Subproblem 1
Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 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 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {1.285714286, 2}
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