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Simplifying 6x2 + 8x + 6 = 35x2 + x + 6 Reorder the terms: 6 + 8x + 6x2 = 35x2 + x + 6 Reorder the terms: 6 + 8x + 6x2 = 6 + x + 35x2 Add '-6' to each side of the equation. 6 + 8x + -6 + 6x2 = 6 + x + -6 + 35x2 Reorder the terms: 6 + -6 + 8x + 6x2 = 6 + x + -6 + 35x2 Combine like terms: 6 + -6 = 0 0 + 8x + 6x2 = 6 + x + -6 + 35x2 8x + 6x2 = 6 + x + -6 + 35x2 Reorder the terms: 8x + 6x2 = 6 + -6 + x + 35x2 Combine like terms: 6 + -6 = 0 8x + 6x2 = 0 + x + 35x2 8x + 6x2 = x + 35x2 Solving 8x + 6x2 = x + 35x2 Solving for variable 'x'. Reorder the terms: 8x + -1x + 6x2 + -35x2 = x + 35x2 + -1x + -35x2 Combine like terms: 8x + -1x = 7x 7x + 6x2 + -35x2 = x + 35x2 + -1x + -35x2 Combine like terms: 6x2 + -35x2 = -29x2 7x + -29x2 = x + 35x2 + -1x + -35x2 Reorder the terms: 7x + -29x2 = x + -1x + 35x2 + -35x2 Combine like terms: x + -1x = 0 7x + -29x2 = 0 + 35x2 + -35x2 7x + -29x2 = 35x2 + -35x2 Combine like terms: 35x2 + -35x2 = 0 7x + -29x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -29x) = 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 + -29x)' equal to zero and attempt to solve: Simplifying 7 + -29x = 0 Solving 7 + -29x = 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 + -29x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -29x = 0 + -7 -29x = 0 + -7 Combine like terms: 0 + -7 = -7 -29x = -7 Divide each side by '-29'. x = 0.2413793103 Simplifying x = 0.2413793103Solution
x = {0, 0.2413793103}
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