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Simplifying 4x + 6x2 + -8x + 3x2 = 0 Reorder the terms: 4x + -8x + 6x2 + 3x2 = 0 Combine like terms: 4x + -8x = -4x -4x + 6x2 + 3x2 = 0 Combine like terms: 6x2 + 3x2 = 9x2 -4x + 9x2 = 0 Solving -4x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 9x) = 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 '(-4 + 9x)' equal to zero and attempt to solve: Simplifying -4 + 9x = 0 Solving -4 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 0 + 4 9x = 0 + 4 Combine like terms: 0 + 4 = 4 9x = 4 Divide each side by '9'. x = 0.4444444444 Simplifying x = 0.4444444444Solution
x = {0, 0.4444444444}
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