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Simplifying (7x + -4)(8x + 5) = 0 Reorder the terms: (-4 + 7x)(8x + 5) = 0 Reorder the terms: (-4 + 7x)(5 + 8x) = 0 Multiply (-4 + 7x) * (5 + 8x) (-4(5 + 8x) + 7x * (5 + 8x)) = 0 ((5 * -4 + 8x * -4) + 7x * (5 + 8x)) = 0 ((-20 + -32x) + 7x * (5 + 8x)) = 0 (-20 + -32x + (5 * 7x + 8x * 7x)) = 0 (-20 + -32x + (35x + 56x2)) = 0 Combine like terms: -32x + 35x = 3x (-20 + 3x + 56x2) = 0 Solving -20 + 3x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -8x)(4 + -7x) = 0Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve: Simplifying -5 + -8x = 0 Solving -5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {-0.625, 0.5714285714}
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