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Simplifying 0 = (4x + -5)(x + -6) Reorder the terms: 0 = (-5 + 4x)(x + -6) Reorder the terms: 0 = (-5 + 4x)(-6 + x) Multiply (-5 + 4x) * (-6 + x) 0 = (-5(-6 + x) + 4x * (-6 + x)) 0 = ((-6 * -5 + x * -5) + 4x * (-6 + x)) 0 = ((30 + -5x) + 4x * (-6 + x)) 0 = (30 + -5x + (-6 * 4x + x * 4x)) 0 = (30 + -5x + (-24x + 4x2)) Combine like terms: -5x + -24x = -29x 0 = (30 + -29x + 4x2) Solving 0 = 30 + -29x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -30 = -30 -30 + 29x + -4x2 = 30 + -29x + 4x2 + -30 + 29x + -4x2 Reorder the terms: -30 + 29x + -4x2 = 30 + -30 + -29x + 29x + 4x2 + -4x2 Combine like terms: 30 + -30 = 0 -30 + 29x + -4x2 = 0 + -29x + 29x + 4x2 + -4x2 -30 + 29x + -4x2 = -29x + 29x + 4x2 + -4x2 Combine like terms: -29x + 29x = 0 -30 + 29x + -4x2 = 0 + 4x2 + -4x2 -30 + 29x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -30 + 29x + -4x2 = 0 Factor a trinomial. (-6 + x)(5 + -4x) = 0Subproblem 1
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 = 6Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {6, 1.25}
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