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Simplifying (x2 + 6x + 4) + (-9x2 + x + -4) = 0 Reorder the terms: (4 + 6x + x2) + (-9x2 + x + -4) = 0 Remove parenthesis around (4 + 6x + x2) 4 + 6x + x2 + (-9x2 + x + -4) = 0 Reorder the terms: 4 + 6x + x2 + (-4 + x + -9x2) = 0 Remove parenthesis around (-4 + x + -9x2) 4 + 6x + x2 + -4 + x + -9x2 = 0 Reorder the terms: 4 + -4 + 6x + x + x2 + -9x2 = 0 Combine like terms: 4 + -4 = 0 0 + 6x + x + x2 + -9x2 = 0 6x + x + x2 + -9x2 = 0 Combine like terms: 6x + x = 7x 7x + x2 + -9x2 = 0 Combine like terms: x2 + -9x2 = -8x2 7x + -8x2 = 0 Solving 7x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -8x) = 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 '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 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 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Solution
x = {0, 0.875}
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