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Simplifying (-16x + -49)(-16x + -49) = 0 Reorder the terms: (-49 + -16x)(-16x + -49) = 0 Reorder the terms: (-49 + -16x)(-49 + -16x) = 0 Multiply (-49 + -16x) * (-49 + -16x) (-49(-49 + -16x) + -16x * (-49 + -16x)) = 0 ((-49 * -49 + -16x * -49) + -16x * (-49 + -16x)) = 0 ((2401 + 784x) + -16x * (-49 + -16x)) = 0 (2401 + 784x + (-49 * -16x + -16x * -16x)) = 0 (2401 + 784x + (784x + 256x2)) = 0 Combine like terms: 784x + 784x = 1568x (2401 + 1568x + 256x2) = 0 Solving 2401 + 1568x + 256x2 = 0 Solving for variable 'x'. Factor a trinomial. (49 + 16x)(49 + 16x) = 0Subproblem 1
Set the factor '(49 + 16x)' equal to zero and attempt to solve: Simplifying 49 + 16x = 0 Solving 49 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 16x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 16x = 0 + -49 16x = 0 + -49 Combine like terms: 0 + -49 = -49 16x = -49 Divide each side by '16'. x = -3.0625 Simplifying x = -3.0625Subproblem 2
Set the factor '(49 + 16x)' equal to zero and attempt to solve: Simplifying 49 + 16x = 0 Solving 49 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 16x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 16x = 0 + -49 16x = 0 + -49 Combine like terms: 0 + -49 = -49 16x = -49 Divide each side by '16'. x = -3.0625 Simplifying x = -3.0625Solution
x = {-3.0625, -3.0625}
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