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Simplifying 8 = 63x2 + 74x + -1 Reorder the terms: 8 = -1 + 74x + 63x2 Solving 8 = -1 + 74x + 63x2 Solving for variable 'x'. Combine like terms: 8 + 1 = 9 9 + -74x + -63x2 = -1 + 74x + 63x2 + 1 + -74x + -63x2 Reorder the terms: 9 + -74x + -63x2 = -1 + 1 + 74x + -74x + 63x2 + -63x2 Combine like terms: -1 + 1 = 0 9 + -74x + -63x2 = 0 + 74x + -74x + 63x2 + -63x2 9 + -74x + -63x2 = 74x + -74x + 63x2 + -63x2 Combine like terms: 74x + -74x = 0 9 + -74x + -63x2 = 0 + 63x2 + -63x2 9 + -74x + -63x2 = 63x2 + -63x2 Combine like terms: 63x2 + -63x2 = 0 9 + -74x + -63x2 = 0 Factor a trinomial. (1 + -9x)(9 + 7x) = 0Subproblem 1
Set the factor '(1 + -9x)' equal to zero and attempt to solve: Simplifying 1 + -9x = 0 Solving 1 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 0 + -1 -9x = 0 + -1 Combine like terms: 0 + -1 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111Subproblem 2
Set the factor '(9 + 7x)' equal to zero and attempt to solve: Simplifying 9 + 7x = 0 Solving 9 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 0 + -9 7x = 0 + -9 Combine like terms: 0 + -9 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286Solution
x = {0.1111111111, -1.285714286}
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