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Simplifying 6x * 2 + 7x + -2 = x(7 + 6x) + -2 Reorder the terms for easier multiplication: 6 * 2x + 7x + -2 = x(7 + 6x) + -2 Multiply 6 * 2 12x + 7x + -2 = x(7 + 6x) + -2 Reorder the terms: -2 + 12x + 7x = x(7 + 6x) + -2 Combine like terms: 12x + 7x = 19x -2 + 19x = x(7 + 6x) + -2 -2 + 19x = (7 * x + 6x * x) + -2 -2 + 19x = (7x + 6x2) + -2 Reorder the terms: -2 + 19x = -2 + 7x + 6x2 Add '2' to each side of the equation. -2 + 2 + 19x = -2 + 7x + 2 + 6x2 Combine like terms: -2 + 2 = 0 0 + 19x = -2 + 7x + 2 + 6x2 19x = -2 + 7x + 2 + 6x2 Reorder the terms: 19x = -2 + 2 + 7x + 6x2 Combine like terms: -2 + 2 = 0 19x = 0 + 7x + 6x2 19x = 7x + 6x2 Solving 19x = 7x + 6x2 Solving for variable 'x'. Combine like terms: 19x + -7x = 12x 12x + -6x2 = 7x + 6x2 + -7x + -6x2 Reorder the terms: 12x + -6x2 = 7x + -7x + 6x2 + -6x2 Combine like terms: 7x + -7x = 0 12x + -6x2 = 0 + 6x2 + -6x2 12x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 12x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(2 + -1x) = 0 Ignore the factor 6.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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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