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Simplifying 0 = 5x2 + -19x + -30 Reorder the terms: 0 = -30 + -19x + 5x2 Solving 0 = -30 + -19x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 30 = 30 30 + 19x + -5x2 = -30 + -19x + 5x2 + 30 + 19x + -5x2 Reorder the terms: 30 + 19x + -5x2 = -30 + 30 + -19x + 19x + 5x2 + -5x2 Combine like terms: -30 + 30 = 0 30 + 19x + -5x2 = 0 + -19x + 19x + 5x2 + -5x2 30 + 19x + -5x2 = -19x + 19x + 5x2 + -5x2 Combine like terms: -19x + 19x = 0 30 + 19x + -5x2 = 0 + 5x2 + -5x2 30 + 19x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 30 + 19x + -5x2 = 0 Factor a trinomial. (5 + -1x)(6 + 5x) = 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 '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {5, -1.2}
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