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Simplifying (1 + -1x)(3x + -4) = 0 Reorder the terms: (1 + -1x)(-4 + 3x) = 0 Multiply (1 + -1x) * (-4 + 3x) (1(-4 + 3x) + -1x * (-4 + 3x)) = 0 ((-4 * 1 + 3x * 1) + -1x * (-4 + 3x)) = 0 ((-4 + 3x) + -1x * (-4 + 3x)) = 0 (-4 + 3x + (-4 * -1x + 3x * -1x)) = 0 (-4 + 3x + (4x + -3x2)) = 0 Combine like terms: 3x + 4x = 7x (-4 + 7x + -3x2) = 0 Solving -4 + 7x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + 3x)(1 + -1x) = 0Subproblem 1
Set the factor '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 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 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {1.333333333, 1}
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