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Simplifying (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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