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Simplifying 7(9x2 + 10x + 1) = 0 Reorder the terms: 7(1 + 10x + 9x2) = 0 (1 * 7 + 10x * 7 + 9x2 * 7) = 0 (7 + 70x + 63x2) = 0 Solving 7 + 70x + 63x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(1 + 10x + 9x2) = 0 Factor a trinomial. 7((1 + x)(1 + 9x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
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 = -0.1111111111Solution
x = {-1, -0.1111111111}
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