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Simplifying (4x + 7)(4x + 7) = 0 Reorder the terms: (7 + 4x)(4x + 7) = 0 Reorder the terms: (7 + 4x)(7 + 4x) = 0 Multiply (7 + 4x) * (7 + 4x) (7(7 + 4x) + 4x * (7 + 4x)) = 0 ((7 * 7 + 4x * 7) + 4x * (7 + 4x)) = 0 ((49 + 28x) + 4x * (7 + 4x)) = 0 (49 + 28x + (7 * 4x + 4x * 4x)) = 0 (49 + 28x + (28x + 16x2)) = 0 Combine like terms: 28x + 28x = 56x (49 + 56x + 16x2) = 0 Solving 49 + 56x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 4x)(7 + 4x) = 0Subproblem 1
Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Solution
x = {-1.75, -1.75}
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