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Simplifying 2x2 + -24x = -3x2 + -5x + -18 Reorder the terms: -24x + 2x2 = -3x2 + -5x + -18 Reorder the terms: -24x + 2x2 = -18 + -5x + -3x2 Solving -24x + 2x2 = -18 + -5x + -3x2 Solving for variable 'x'. Reorder the terms: 18 + -24x + 5x + 2x2 + 3x2 = -18 + -5x + -3x2 + 18 + 5x + 3x2 Combine like terms: -24x + 5x = -19x 18 + -19x + 2x2 + 3x2 = -18 + -5x + -3x2 + 18 + 5x + 3x2 Combine like terms: 2x2 + 3x2 = 5x2 18 + -19x + 5x2 = -18 + -5x + -3x2 + 18 + 5x + 3x2 Reorder the terms: 18 + -19x + 5x2 = -18 + 18 + -5x + 5x + -3x2 + 3x2 Combine like terms: -18 + 18 = 0 18 + -19x + 5x2 = 0 + -5x + 5x + -3x2 + 3x2 18 + -19x + 5x2 = -5x + 5x + -3x2 + 3x2 Combine like terms: -5x + 5x = 0 18 + -19x + 5x2 = 0 + -3x2 + 3x2 18 + -19x + 5x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 18 + -19x + 5x2 = 0 Factor a trinomial. (9 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Subproblem 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 = {1.8, 2}
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