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Simplifying (-3 + -2x)(1 + -2x) = 0 Multiply (-3 + -2x) * (1 + -2x) (-3(1 + -2x) + -2x * (1 + -2x)) = 0 ((1 * -3 + -2x * -3) + -2x * (1 + -2x)) = 0 ((-3 + 6x) + -2x * (1 + -2x)) = 0 (-3 + 6x + (1 * -2x + -2x * -2x)) = 0 (-3 + 6x + (-2x + 4x2)) = 0 Combine like terms: 6x + -2x = 4x (-3 + 4x + 4x2) = 0 Solving -3 + 4x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(1 + -2x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 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 = {-1.5, 0.5}
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