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Simplifying (1 + -1x)(7 + -4x) = 0 Multiply (1 + -1x) * (7 + -4x) (1(7 + -4x) + -1x * (7 + -4x)) = 0 ((7 * 1 + -4x * 1) + -1x * (7 + -4x)) = 0 ((7 + -4x) + -1x * (7 + -4x)) = 0 (7 + -4x + (7 * -1x + -4x * -1x)) = 0 (7 + -4x + (-7x + 4x2)) = 0 Combine like terms: -4x + -7x = -11x (7 + -11x + 4x2) = 0 Solving 7 + -11x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(7 + -4x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {1, 1.75}
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