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Simplifying 9x2 + 4x + 10x + 7x2 = 0 Reorder the terms: 4x + 10x + 9x2 + 7x2 = 0 Combine like terms: 4x + 10x = 14x 14x + 9x2 + 7x2 = 0 Combine like terms: 9x2 + 7x2 = 16x2 14x + 16x2 = 0 Solving 14x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(7 + 8x) = 0 Ignore the factor 2.Subproblem 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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