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Simplifying (6x2 + 3x) + (x2 + -4x) = 0 Reorder the terms: (3x + 6x2) + (x2 + -4x) = 0 Remove parenthesis around (3x + 6x2) 3x + 6x2 + (x2 + -4x) = 0 Reorder the terms: 3x + 6x2 + (-4x + x2) = 0 Remove parenthesis around (-4x + x2) 3x + 6x2 + -4x + x2 = 0 Reorder the terms: 3x + -4x + 6x2 + x2 = 0 Combine like terms: 3x + -4x = -1x -1x + 6x2 + x2 = 0 Combine like terms: 6x2 + x2 = 7x2 -1x + 7x2 = 0 Solving -1x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 7x) = 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 '(-1 + 7x)' equal to zero and attempt to solve: Simplifying -1 + 7x = 0 Solving -1 + 7x = 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 + 7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 0 + 1 7x = 0 + 1 Combine like terms: 0 + 1 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429Solution
x = {0, 0.1428571429}
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