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Simplifying 5x2 + -19x = -14 Reorder the terms: -19x + 5x2 = -14 Solving -19x + 5x2 = -14 Solving for variable 'x'. Reorder the terms: 14 + -19x + 5x2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + -19x + 5x2 = 0 Factor a trinomial. (1 + -1x)(14 + -5x) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 14 + -5x = 0 Solving 14 + -5x = 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 + -5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 0 + -14 -5x = 0 + -14 Combine like terms: 0 + -14 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8Solution
x = {1, 2.8}
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