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Simplifying (-3x + 5)(x + -6) = 0 Reorder the terms: (5 + -3x)(x + -6) = 0 Reorder the terms: (5 + -3x)(-6 + x) = 0 Multiply (5 + -3x) * (-6 + x) (5(-6 + x) + -3x * (-6 + x)) = 0 ((-6 * 5 + x * 5) + -3x * (-6 + x)) = 0 ((-30 + 5x) + -3x * (-6 + x)) = 0 (-30 + 5x + (-6 * -3x + x * -3x)) = 0 (-30 + 5x + (18x + -3x2)) = 0 Combine like terms: 5x + 18x = 23x (-30 + 23x + -3x2) = 0 Solving -30 + 23x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + x)(5 + -3x) = 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 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {6, 1.666666667}
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