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Simplifying 0 = 5x2 + 7x + -66 Reorder the terms: 0 = -66 + 7x + 5x2 Solving 0 = -66 + 7x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 66 = 66 66 + -7x + -5x2 = -66 + 7x + 5x2 + 66 + -7x + -5x2 Reorder the terms: 66 + -7x + -5x2 = -66 + 66 + 7x + -7x + 5x2 + -5x2 Combine like terms: -66 + 66 = 0 66 + -7x + -5x2 = 0 + 7x + -7x + 5x2 + -5x2 66 + -7x + -5x2 = 7x + -7x + 5x2 + -5x2 Combine like terms: 7x + -7x = 0 66 + -7x + -5x2 = 0 + 5x2 + -5x2 66 + -7x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 66 + -7x + -5x2 = 0 Factor a trinomial. (3 + -1x)(22 + 5x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(22 + 5x)' equal to zero and attempt to solve: Simplifying 22 + 5x = 0 Solving 22 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 5x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 0 + -22 5x = 0 + -22 Combine like terms: 0 + -22 = -22 5x = -22 Divide each side by '5'. x = -4.4 Simplifying x = -4.4Solution
x = {3, -4.4}
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