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Simplifying -6(x + -5) + -8(x + -8) = -5x2 + 65x + -200 Reorder the terms: -6(-5 + x) + -8(x + -8) = -5x2 + 65x + -200 (-5 * -6 + x * -6) + -8(x + -8) = -5x2 + 65x + -200 (30 + -6x) + -8(x + -8) = -5x2 + 65x + -200 Reorder the terms: 30 + -6x + -8(-8 + x) = -5x2 + 65x + -200 30 + -6x + (-8 * -8 + x * -8) = -5x2 + 65x + -200 30 + -6x + (64 + -8x) = -5x2 + 65x + -200 Reorder the terms: 30 + 64 + -6x + -8x = -5x2 + 65x + -200 Combine like terms: 30 + 64 = 94 94 + -6x + -8x = -5x2 + 65x + -200 Combine like terms: -6x + -8x = -14x 94 + -14x = -5x2 + 65x + -200 Reorder the terms: 94 + -14x = -200 + 65x + -5x2 Solving 94 + -14x = -200 + 65x + -5x2 Solving for variable 'x'. Reorder the terms: 94 + 200 + -14x + -65x + 5x2 = -200 + 65x + -5x2 + 200 + -65x + 5x2 Combine like terms: 94 + 200 = 294 294 + -14x + -65x + 5x2 = -200 + 65x + -5x2 + 200 + -65x + 5x2 Combine like terms: -14x + -65x = -79x 294 + -79x + 5x2 = -200 + 65x + -5x2 + 200 + -65x + 5x2 Reorder the terms: 294 + -79x + 5x2 = -200 + 200 + 65x + -65x + -5x2 + 5x2 Combine like terms: -200 + 200 = 0 294 + -79x + 5x2 = 0 + 65x + -65x + -5x2 + 5x2 294 + -79x + 5x2 = 65x + -65x + -5x2 + 5x2 Combine like terms: 65x + -65x = 0 294 + -79x + 5x2 = 0 + -5x2 + 5x2 294 + -79x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 294 + -79x + 5x2 = 0 Factor a trinomial. (6 + -1x)(49 + -5x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(49 + -5x)' equal to zero and attempt to solve: Simplifying 49 + -5x = 0 Solving 49 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -5x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -5x = 0 + -49 -5x = 0 + -49 Combine like terms: 0 + -49 = -49 -5x = -49 Divide each side by '-5'. x = 9.8 Simplifying x = 9.8Solution
x = {6, 9.8}
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