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Simplifying 6x2 + 4(9x2 + -1x) + -3x = 0 Reorder the terms: 6x2 + 4(-1x + 9x2) + -3x = 0 6x2 + (-1x * 4 + 9x2 * 4) + -3x = 0 6x2 + (-4x + 36x2) + -3x = 0 Reorder the terms: -4x + -3x + 6x2 + 36x2 = 0 Combine like terms: -4x + -3x = -7x -7x + 6x2 + 36x2 = 0 Combine like terms: 6x2 + 36x2 = 42x2 -7x + 42x2 = 0 Solving -7x + 42x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(-1 + 6x) = 0 Ignore the factor 7.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 '(-1 + 6x)' equal to zero and attempt to solve: Simplifying -1 + 6x = 0 Solving -1 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 0 + 1 6x = 0 + 1 Combine like terms: 0 + 1 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {0, 0.1666666667}
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