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Simplifying -16x2 + 40x + 400 = 425 Reorder the terms: 400 + 40x + -16x2 = 425 Solving 400 + 40x + -16x2 = 425 Solving for variable 'x'. Reorder the terms: 400 + -425 + 40x + -16x2 = 425 + -425 Combine like terms: 400 + -425 = -25 -25 + 40x + -16x2 = 425 + -425 Combine like terms: 425 + -425 = 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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