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Simplifying (5x + -8)(x + -6) = 3x + 6 Reorder the terms: (-8 + 5x)(x + -6) = 3x + 6 Reorder the terms: (-8 + 5x)(-6 + x) = 3x + 6 Multiply (-8 + 5x) * (-6 + x) (-8(-6 + x) + 5x * (-6 + x)) = 3x + 6 ((-6 * -8 + x * -8) + 5x * (-6 + x)) = 3x + 6 ((48 + -8x) + 5x * (-6 + x)) = 3x + 6 (48 + -8x + (-6 * 5x + x * 5x)) = 3x + 6 (48 + -8x + (-30x + 5x2)) = 3x + 6 Combine like terms: -8x + -30x = -38x (48 + -38x + 5x2) = 3x + 6 Reorder the terms: 48 + -38x + 5x2 = 6 + 3x Solving 48 + -38x + 5x2 = 6 + 3x Solving for variable 'x'. Reorder the terms: 48 + -6 + -38x + -3x + 5x2 = 6 + 3x + -6 + -3x Combine like terms: 48 + -6 = 42 42 + -38x + -3x + 5x2 = 6 + 3x + -6 + -3x Combine like terms: -38x + -3x = -41x 42 + -41x + 5x2 = 6 + 3x + -6 + -3x Reorder the terms: 42 + -41x + 5x2 = 6 + -6 + 3x + -3x Combine like terms: 6 + -6 = 0 42 + -41x + 5x2 = 0 + 3x + -3x 42 + -41x + 5x2 = 3x + -3x Combine like terms: 3x + -3x = 0 42 + -41x + 5x2 = 0 Factor a trinomial. (6 + -5x)(7 + -1x) = 0Subproblem 1
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 = 1.2Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {1.2, 7}
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