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Simplifying 16x2 + 8x + 1 = 196 Reorder the terms: 1 + 8x + 16x2 = 196 Solving 1 + 8x + 16x2 = 196 Solving for variable 'x'. Reorder the terms: 1 + -196 + 8x + 16x2 = 196 + -196 Combine like terms: 1 + -196 = -195 -195 + 8x + 16x2 = 196 + -196 Combine like terms: 196 + -196 = 0 -195 + 8x + 16x2 = 0 Factor a trinomial. (-15 + -4x)(13 + -4x) = 0Subproblem 1
Set the factor '(-15 + -4x)' equal to zero and attempt to solve: Simplifying -15 + -4x = 0 Solving -15 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 0 + 15 -4x = 0 + 15 Combine like terms: 0 + 15 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75Subproblem 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 = {-3.75, 3.25}
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