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Simplifying (4x + 5)(7x + -8) = 0 Reorder the terms: (5 + 4x)(7x + -8) = 0 Reorder the terms: (5 + 4x)(-8 + 7x) = 0 Multiply (5 + 4x) * (-8 + 7x) (5(-8 + 7x) + 4x * (-8 + 7x)) = 0 ((-8 * 5 + 7x * 5) + 4x * (-8 + 7x)) = 0 ((-40 + 35x) + 4x * (-8 + 7x)) = 0 (-40 + 35x + (-8 * 4x + 7x * 4x)) = 0 (-40 + 35x + (-32x + 28x2)) = 0 Combine like terms: 35x + -32x = 3x (-40 + 3x + 28x2) = 0 Solving -40 + 3x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(8 + -7x) = 0Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 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 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-1.25, 1.142857143}
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