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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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