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Simplifying 6x2 + 12x2 + -7x = 0 Reorder the terms: -7x + 6x2 + 12x2 = 0 Combine like terms: 6x2 + 12x2 = 18x2 -7x + 18x2 = 0 Solving -7x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 18x) = 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 + 18x)' equal to zero and attempt to solve: Simplifying -7 + 18x = 0 Solving -7 + 18x = 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 + 18x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 18x = 0 + 7 18x = 0 + 7 Combine like terms: 0 + 7 = 7 18x = 7 Divide each side by '18'. x = 0.3888888889 Simplifying x = 0.3888888889Solution
x = {0, 0.3888888889}
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