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Simplifying 19x = -4x2 + -15 Reorder the terms: 19x = -15 + -4x2 Solving 19x = -15 + -4x2 Solving for variable 'x'. Reorder the terms: 15 + 19x + 4x2 = -15 + -4x2 + 15 + 4x2 Reorder the terms: 15 + 19x + 4x2 = -15 + 15 + -4x2 + 4x2 Combine like terms: -15 + 15 = 0 15 + 19x + 4x2 = 0 + -4x2 + 4x2 15 + 19x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 15 + 19x + 4x2 = 0 Factor a trinomial. (15 + 4x)(1 + x) = 0Subproblem 1
Set the factor '(15 + 4x)' equal to zero and attempt to solve: Simplifying 15 + 4x = 0 Solving 15 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 0 + -15 4x = 0 + -15 Combine like terms: 0 + -15 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-3.75, -1}
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