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Simplifying (-5 + -6x)(1 + -2x) = 0 Multiply (-5 + -6x) * (1 + -2x) (-5(1 + -2x) + -6x * (1 + -2x)) = 0 ((1 * -5 + -2x * -5) + -6x * (1 + -2x)) = 0 ((-5 + 10x) + -6x * (1 + -2x)) = 0 (-5 + 10x + (1 * -6x + -2x * -6x)) = 0 (-5 + 10x + (-6x + 12x2)) = 0 Combine like terms: 10x + -6x = 4x (-5 + 4x + 12x2) = 0 Solving -5 + 4x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -6x)(1 + -2x) = 0Subproblem 1
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 = -0.8333333333Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-0.8333333333, 0.5}
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