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Simplifying (-5x + 4)(x + 6) = 0 Reorder the terms: (4 + -5x)(x + 6) = 0 Reorder the terms: (4 + -5x)(6 + x) = 0 Multiply (4 + -5x) * (6 + x) (4(6 + x) + -5x * (6 + x)) = 0 ((6 * 4 + x * 4) + -5x * (6 + x)) = 0 ((24 + 4x) + -5x * (6 + x)) = 0 (24 + 4x + (6 * -5x + x * -5x)) = 0 (24 + 4x + (-30x + -5x2)) = 0 Combine like terms: 4x + -30x = -26x (24 + -26x + -5x2) = 0 Solving 24 + -26x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -5x)(6 + x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0.8, -6}
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