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Simplifying (9x + -7)(x + 4) = 0 Reorder the terms: (-7 + 9x)(x + 4) = 0 Reorder the terms: (-7 + 9x)(4 + x) = 0 Multiply (-7 + 9x) * (4 + x) (-7(4 + x) + 9x * (4 + x)) = 0 ((4 * -7 + x * -7) + 9x * (4 + x)) = 0 ((-28 + -7x) + 9x * (4 + x)) = 0 (-28 + -7x + (4 * 9x + x * 9x)) = 0 (-28 + -7x + (36x + 9x2)) = 0 Combine like terms: -7x + 36x = 29x (-28 + 29x + 9x2) = 0 Solving -28 + 29x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(7 + -9x) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 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 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Solution
x = {-4, 0.7777777778}
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