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Simplifying (4 + -1x)(7 + -8x) = 0 Multiply (4 + -1x) * (7 + -8x) (4(7 + -8x) + -1x * (7 + -8x)) = 0 ((7 * 4 + -8x * 4) + -1x * (7 + -8x)) = 0 ((28 + -32x) + -1x * (7 + -8x)) = 0 (28 + -32x + (7 * -1x + -8x * -1x)) = 0 (28 + -32x + (-7x + 8x2)) = 0 Combine like terms: -32x + -7x = -39x (28 + -39x + 8x2) = 0 Solving 28 + -39x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -8x)(4 + -1x) = 0Subproblem 1
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 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 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Subproblem 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 = {0.875, 4}
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