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Simplifying (7x + 4)(7x + 4) = 0 Reorder the terms: (4 + 7x)(7x + 4) = 0 Reorder the terms: (4 + 7x)(4 + 7x) = 0 Multiply (4 + 7x) * (4 + 7x) (4(4 + 7x) + 7x * (4 + 7x)) = 0 ((4 * 4 + 7x * 4) + 7x * (4 + 7x)) = 0 ((16 + 28x) + 7x * (4 + 7x)) = 0 (16 + 28x + (4 * 7x + 7x * 7x)) = 0 (16 + 28x + (28x + 49x2)) = 0 Combine like terms: 28x + 28x = 56x (16 + 56x + 49x2) = 0 Solving 16 + 56x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 7x)(4 + 7x) = 0Subproblem 1
Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714Solution
x = {-0.5714285714, -0.5714285714}
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