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Simplifying (4 + -1x)(3 + -1x) = 0 Multiply (4 + -1x) * (3 + -1x) (4(3 + -1x) + -1x * (3 + -1x)) = 0 ((3 * 4 + -1x * 4) + -1x * (3 + -1x)) = 0 ((12 + -4x) + -1x * (3 + -1x)) = 0 (12 + -4x + (3 * -1x + -1x * -1x)) = 0 (12 + -4x + (-3x + 1x2)) = 0 Combine like terms: -4x + -3x = -7x (12 + -7x + 1x2) = 0 Solving 12 + -7x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {3, 4}
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