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Simplifying (2x + -7)(4x + 5) = 0 Reorder the terms: (-7 + 2x)(4x + 5) = 0 Reorder the terms: (-7 + 2x)(5 + 4x) = 0 Multiply (-7 + 2x) * (5 + 4x) (-7(5 + 4x) + 2x * (5 + 4x)) = 0 ((5 * -7 + 4x * -7) + 2x * (5 + 4x)) = 0 ((-35 + -28x) + 2x * (5 + 4x)) = 0 (-35 + -28x + (5 * 2x + 4x * 2x)) = 0 (-35 + -28x + (10x + 8x2)) = 0 Combine like terms: -28x + 10x = -18x (-35 + -18x + 8x2) = 0 Solving -35 + -18x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(7 + -2x) = 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 '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-1.25, 3.5}
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