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Simplifying (7x + 2)(7x + 2) = 16 Reorder the terms: (2 + 7x)(7x + 2) = 16 Reorder the terms: (2 + 7x)(2 + 7x) = 16 Multiply (2 + 7x) * (2 + 7x) (2(2 + 7x) + 7x * (2 + 7x)) = 16 ((2 * 2 + 7x * 2) + 7x * (2 + 7x)) = 16 ((4 + 14x) + 7x * (2 + 7x)) = 16 (4 + 14x + (2 * 7x + 7x * 7x)) = 16 (4 + 14x + (14x + 49x2)) = 16 Combine like terms: 14x + 14x = 28x (4 + 28x + 49x2) = 16 Solving 4 + 28x + 49x2 = 16 Solving for variable 'x'. Reorder the terms: 4 + -16 + 28x + 49x2 = 16 + -16 Combine like terms: 4 + -16 = -12 -12 + 28x + 49x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -12 + 28x + 49x2 = 0 Factor a trinomial. (-6 + -7x)(2 + -7x) = 0Subproblem 1
Set the factor '(-6 + -7x)' equal to zero and attempt to solve: Simplifying -6 + -7x = 0 Solving -6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 0 + 6 -7x = 0 + 6 Combine like terms: 0 + 6 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-0.8571428571, 0.2857142857}
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