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Simplifying 4x + -3x2 + 9x + 4x2 + -6x = 0 Reorder the terms: 4x + 9x + -6x + -3x2 + 4x2 = 0 Combine like terms: 4x + 9x = 13x 13x + -6x + -3x2 + 4x2 = 0 Combine like terms: 13x + -6x = 7x 7x + -3x2 + 4x2 = 0 Combine like terms: -3x2 + 4x2 = 1x2 7x + 1x2 = 0 Solving 7x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0, -7}
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