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Simplifying 19x2 + 7x + -14 = 2x Reorder the terms: -14 + 7x + 19x2 = 2x Solving -14 + 7x + 19x2 = 2x Solving for variable 'x'. Reorder the terms: -14 + 7x + -2x + 19x2 = 2x + -2x Combine like terms: 7x + -2x = 5x -14 + 5x + 19x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 5x + 19x2 = 0 Factor a trinomial. (-1 + -1x)(14 + -19x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(14 + -19x)' equal to zero and attempt to solve: Simplifying 14 + -19x = 0 Solving 14 + -19x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -19x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -19x = 0 + -14 -19x = 0 + -14 Combine like terms: 0 + -14 = -14 -19x = -14 Divide each side by '-19'. x = 0.7368421053 Simplifying x = 0.7368421053Solution
x = {-1, 0.7368421053}
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