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Simplifying (23x2 + 7x + -8) + (x2 + 4x + 8) = 0 Reorder the terms: (-8 + 7x + 23x2) + (x2 + 4x + 8) = 0 Remove parenthesis around (-8 + 7x + 23x2) -8 + 7x + 23x2 + (x2 + 4x + 8) = 0 Reorder the terms: -8 + 7x + 23x2 + (8 + 4x + x2) = 0 Remove parenthesis around (8 + 4x + x2) -8 + 7x + 23x2 + 8 + 4x + x2 = 0 Reorder the terms: -8 + 8 + 7x + 4x + 23x2 + x2 = 0 Combine like terms: -8 + 8 = 0 0 + 7x + 4x + 23x2 + x2 = 0 7x + 4x + 23x2 + x2 = 0 Combine like terms: 7x + 4x = 11x 11x + 23x2 + x2 = 0 Combine like terms: 23x2 + x2 = 24x2 11x + 24x2 = 0 Solving 11x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 24x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(11 + 24x)' equal to zero and attempt to solve: Simplifying 11 + 24x = 0 Solving 11 + 24x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 24x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 24x = 0 + -11 24x = 0 + -11 Combine like terms: 0 + -11 = -11 24x = -11 Divide each side by '24'. x = -0.4583333333 Simplifying x = -0.4583333333Solution
x = {0, -0.4583333333}
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