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Simplifying 7x2 = -21 + -52x Solving 7x2 = -21 + -52x Solving for variable 'x'. Reorder the terms: 21 + 52x + 7x2 = -21 + -52x + 21 + 52x Reorder the terms: 21 + 52x + 7x2 = -21 + 21 + -52x + 52x Combine like terms: -21 + 21 = 0 21 + 52x + 7x2 = 0 + -52x + 52x 21 + 52x + 7x2 = -52x + 52x Combine like terms: -52x + 52x = 0 21 + 52x + 7x2 = 0 Factor a trinomial. (7 + x)(3 + 7x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 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 = {-7, -0.4285714286}
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