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Simplifying (7x + -3)(7x + -3) = 0 Reorder the terms: (-3 + 7x)(7x + -3) = 0 Reorder the terms: (-3 + 7x)(-3 + 7x) = 0 Multiply (-3 + 7x) * (-3 + 7x) (-3(-3 + 7x) + 7x * (-3 + 7x)) = 0 ((-3 * -3 + 7x * -3) + 7x * (-3 + 7x)) = 0 ((9 + -21x) + 7x * (-3 + 7x)) = 0 (9 + -21x + (-3 * 7x + 7x * 7x)) = 0 (9 + -21x + (-21x + 49x2)) = 0 Combine like terms: -21x + -21x = -42x (9 + -42x + 49x2) = 0 Solving 9 + -42x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -7x)(3 + -7x) = 0Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {0.4285714286, 0.4285714286}
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