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Simplifying (16x2) + 16x + 4 = 25 Reorder the terms: 4 + 16x + (16x2) = 25 Solving 4 + 16x + (16x2) = 25 Solving for variable 'x'. Reorder the terms: 4 + -25 + 16x + (16x2) = 25 + -25 Combine like terms: 4 + -25 = -21 -21 + 16x + (16x2) = 25 + -25 Combine like terms: 25 + -25 = 0 -21 + 16x + (16x2) = 0 Factor a trinomial. (-7 + -4x)(3 + -4x) = 0Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 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 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75Subproblem 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 = {-1.75, 0.75}
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