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Simplifying (2x + 5)(4x + -3) = 0 Reorder the terms: (5 + 2x)(4x + -3) = 0 Reorder the terms: (5 + 2x)(-3 + 4x) = 0 Multiply (5 + 2x) * (-3 + 4x) (5(-3 + 4x) + 2x * (-3 + 4x)) = 0 ((-3 * 5 + 4x * 5) + 2x * (-3 + 4x)) = 0 ((-15 + 20x) + 2x * (-3 + 4x)) = 0 (-15 + 20x + (-3 * 2x + 4x * 2x)) = 0 (-15 + 20x + (-6x + 8x2)) = 0 Combine like terms: 20x + -6x = 14x (-15 + 14x + 8x2) = 0 Solving -15 + 14x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x)(3 + -4x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-2.5, 0.75}
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