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Simplifying 4x2 + -16x + 16 = 49 Reorder the terms: 16 + -16x + 4x2 = 49 Solving 16 + -16x + 4x2 = 49 Solving for variable 'x'. Reorder the terms: 16 + -49 + -16x + 4x2 = 49 + -49 Combine like terms: 16 + -49 = -33 -33 + -16x + 4x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -33 + -16x + 4x2 = 0 Factor a trinomial. (-3 + -2x)(11 + -2x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 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 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Solution
x = {-1.5, 5.5}
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