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Simplifying (8x + 5)(2x + -5) = 10x + -50 Reorder the terms: (5 + 8x)(2x + -5) = 10x + -50 Reorder the terms: (5 + 8x)(-5 + 2x) = 10x + -50 Multiply (5 + 8x) * (-5 + 2x) (5(-5 + 2x) + 8x * (-5 + 2x)) = 10x + -50 ((-5 * 5 + 2x * 5) + 8x * (-5 + 2x)) = 10x + -50 ((-25 + 10x) + 8x * (-5 + 2x)) = 10x + -50 (-25 + 10x + (-5 * 8x + 2x * 8x)) = 10x + -50 (-25 + 10x + (-40x + 16x2)) = 10x + -50 Combine like terms: 10x + -40x = -30x (-25 + -30x + 16x2) = 10x + -50 Reorder the terms: -25 + -30x + 16x2 = -50 + 10x Solving -25 + -30x + 16x2 = -50 + 10x Solving for variable 'x'. Reorder the terms: -25 + 50 + -30x + -10x + 16x2 = -50 + 10x + 50 + -10x Combine like terms: -25 + 50 = 25 25 + -30x + -10x + 16x2 = -50 + 10x + 50 + -10x Combine like terms: -30x + -10x = -40x 25 + -40x + 16x2 = -50 + 10x + 50 + -10x Reorder the terms: 25 + -40x + 16x2 = -50 + 50 + 10x + -10x Combine like terms: -50 + 50 = 0 25 + -40x + 16x2 = 0 + 10x + -10x 25 + -40x + 16x2 = 10x + -10x Combine like terms: 10x + -10x = 0 25 + -40x + 16x2 = 0 Factor a trinomial. (5 + -4x)(5 + -4x) = 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 '(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 = 1.25Solution
x = {1.25, 1.25}
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