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Simplifying 0 = 4x2 + -19x + -5 Reorder the terms: 0 = -5 + -19x + 4x2 Solving 0 = -5 + -19x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 5 = 5 5 + 19x + -4x2 = -5 + -19x + 4x2 + 5 + 19x + -4x2 Reorder the terms: 5 + 19x + -4x2 = -5 + 5 + -19x + 19x + 4x2 + -4x2 Combine like terms: -5 + 5 = 0 5 + 19x + -4x2 = 0 + -19x + 19x + 4x2 + -4x2 5 + 19x + -4x2 = -19x + 19x + 4x2 + -4x2 Combine like terms: -19x + 19x = 0 5 + 19x + -4x2 = 0 + 4x2 + -4x2 5 + 19x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 5 + 19x + -4x2 = 0 Factor a trinomial. (5 + -1x)(1 + 4x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {5, -0.25}
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