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Simplifying 4x2 + -19x + 22 = -2x + 7 Reorder the terms: 22 + -19x + 4x2 = -2x + 7 Reorder the terms: 22 + -19x + 4x2 = 7 + -2x Solving 22 + -19x + 4x2 = 7 + -2x Solving for variable 'x'. Reorder the terms: 22 + -7 + -19x + 2x + 4x2 = 7 + -2x + -7 + 2x Combine like terms: 22 + -7 = 15 15 + -19x + 2x + 4x2 = 7 + -2x + -7 + 2x Combine like terms: -19x + 2x = -17x 15 + -17x + 4x2 = 7 + -2x + -7 + 2x Reorder the terms: 15 + -17x + 4x2 = 7 + -7 + -2x + 2x Combine like terms: 7 + -7 = 0 15 + -17x + 4x2 = 0 + -2x + 2x 15 + -17x + 4x2 = -2x + 2x Combine like terms: -2x + 2x = 0 15 + -17x + 4x2 = 0 Factor a trinomial. (5 + -4x)(3 + -1x) = 0Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {1.25, 3}
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