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Simplifying (5x + -8)(4x + 5) = 0 Reorder the terms: (-8 + 5x)(4x + 5) = 0 Reorder the terms: (-8 + 5x)(5 + 4x) = 0 Multiply (-8 + 5x) * (5 + 4x) (-8(5 + 4x) + 5x * (5 + 4x)) = 0 ((5 * -8 + 4x * -8) + 5x * (5 + 4x)) = 0 ((-40 + -32x) + 5x * (5 + 4x)) = 0 (-40 + -32x + (5 * 5x + 4x * 5x)) = 0 (-40 + -32x + (25x + 20x2)) = 0 Combine like terms: -32x + 25x = -7x (-40 + -7x + 20x2) = 0 Solving -40 + -7x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(8 + -5x) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 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 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {-1.25, 1.6}
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