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