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Simplifying 2x2 + -28x = -3x2 + -2x + -24 Reorder the terms: -28x + 2x2 = -3x2 + -2x + -24 Reorder the terms: -28x + 2x2 = -24 + -2x + -3x2 Solving -28x + 2x2 = -24 + -2x + -3x2 Solving for variable 'x'. Reorder the terms: 24 + -28x + 2x + 2x2 + 3x2 = -24 + -2x + -3x2 + 24 + 2x + 3x2 Combine like terms: -28x + 2x = -26x 24 + -26x + 2x2 + 3x2 = -24 + -2x + -3x2 + 24 + 2x + 3x2 Combine like terms: 2x2 + 3x2 = 5x2 24 + -26x + 5x2 = -24 + -2x + -3x2 + 24 + 2x + 3x2 Reorder the terms: 24 + -26x + 5x2 = -24 + 24 + -2x + 2x + -3x2 + 3x2 Combine like terms: -24 + 24 = 0 24 + -26x + 5x2 = 0 + -2x + 2x + -3x2 + 3x2 24 + -26x + 5x2 = -2x + 2x + -3x2 + 3x2 Combine like terms: -2x + 2x = 0 24 + -26x + 5x2 = 0 + -3x2 + 3x2 24 + -26x + 5x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 24 + -26x + 5x2 = 0 Factor a trinomial. (6 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {1.2, 4}
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