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Simplifying 16x2 + 16x + 4 = 81 Reorder the terms: 4 + 16x + 16x2 = 81 Solving 4 + 16x + 16x2 = 81 Solving for variable 'x'. Reorder the terms: 4 + -81 + 16x + 16x2 = 81 + -81 Combine like terms: 4 + -81 = -77 -77 + 16x + 16x2 = 81 + -81 Combine like terms: 81 + -81 = 0 -77 + 16x + 16x2 = 0 Factor a trinomial. (-11 + -4x)(7 + -4x) = 0Subproblem 1
Set the factor '(-11 + -4x)' equal to zero and attempt to solve: Simplifying -11 + -4x = 0 Solving -11 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 0 + 11 -4x = 0 + 11 Combine like terms: 0 + 11 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75Subproblem 2
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 = 1.75Solution
x = {-2.75, 1.75}
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