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Simplifying 16x2 + -48x + 36 = 49 Reorder the terms: 36 + -48x + 16x2 = 49 Solving 36 + -48x + 16x2 = 49 Solving for variable 'x'. Reorder the terms: 36 + -49 + -48x + 16x2 = 49 + -49 Combine like terms: 36 + -49 = -13 -13 + -48x + 16x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -13 + -48x + 16x2 = 0 Factor a trinomial. (-1 + -4x)(13 + -4x) = 0Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
Set the factor '(13 + -4x)' equal to zero and attempt to solve: Simplifying 13 + -4x = 0 Solving 13 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 0 + -13 -4x = 0 + -13 Combine like terms: 0 + -13 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25Solution
x = {-0.25, 3.25}
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