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Simplifying (x + -7) * 4 + -1x(x + -7) = 0 Reorder the terms: (-7 + x) * 4 + -1x(x + -7) = 0 Reorder the terms for easier multiplication: 4(-7 + x) + -1x(x + -7) = 0 (-7 * 4 + x * 4) + -1x(x + -7) = 0 (-28 + 4x) + -1x(x + -7) = 0 Reorder the terms: -28 + 4x + -1x(-7 + x) = 0 -28 + 4x + (-7 * -1x + x * -1x) = 0 -28 + 4x + (7x + -1x2) = 0 Combine like terms: 4x + 7x = 11x -28 + 11x + -1x2 = 0 Solving -28 + 11x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + x)(4 + -1x) = 0Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 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 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Subproblem 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 = {7, 4}
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