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Simplifying (-6x + 5)(x + -4) = 0 Reorder the terms: (5 + -6x)(x + -4) = 0 Reorder the terms: (5 + -6x)(-4 + x) = 0 Multiply (5 + -6x) * (-4 + x) (5(-4 + x) + -6x * (-4 + x)) = 0 ((-4 * 5 + x * 5) + -6x * (-4 + x)) = 0 ((-20 + 5x) + -6x * (-4 + x)) = 0 (-20 + 5x + (-4 * -6x + x * -6x)) = 0 (-20 + 5x + (24x + -6x2)) = 0 Combine like terms: 5x + 24x = 29x (-20 + 29x + -6x2) = 0 Solving -20 + 29x + -6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + x)(5 + -6x) = 0Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 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 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {4, 0.8333333333}
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