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Simplifying 0 = 65x2 + 212x + -133 Reorder the terms: 0 = -133 + 212x + 65x2 Solving 0 = -133 + 212x + 65x2 Solving for variable 'x'. Combine like terms: 0 + 133 = 133 133 + -212x + -65x2 = -133 + 212x + 65x2 + 133 + -212x + -65x2 Reorder the terms: 133 + -212x + -65x2 = -133 + 133 + 212x + -212x + 65x2 + -65x2 Combine like terms: -133 + 133 = 0 133 + -212x + -65x2 = 0 + 212x + -212x + 65x2 + -65x2 133 + -212x + -65x2 = 212x + -212x + 65x2 + -65x2 Combine like terms: 212x + -212x = 0 133 + -212x + -65x2 = 0 + 65x2 + -65x2 133 + -212x + -65x2 = 65x2 + -65x2 Combine like terms: 65x2 + -65x2 = 0 133 + -212x + -65x2 = 0 Factor a trinomial. (7 + -13x)(19 + 5x) = 0Subproblem 1
Set the factor '(7 + -13x)' equal to zero and attempt to solve: Simplifying 7 + -13x = 0 Solving 7 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -13x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = 0 + -7 -13x = 0 + -7 Combine like terms: 0 + -7 = -7 -13x = -7 Divide each side by '-13'. x = 0.5384615385 Simplifying x = 0.5384615385Subproblem 2
Set the factor '(19 + 5x)' equal to zero and attempt to solve: Simplifying 19 + 5x = 0 Solving 19 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 5x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 0 + -19 5x = 0 + -19 Combine like terms: 0 + -19 = -19 5x = -19 Divide each side by '5'. x = -3.8 Simplifying x = -3.8Solution
x = {0.5384615385, -3.8}
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