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Simplifying (14x + -7) + -1(4x2 + 2x + -7) = 0 Reorder the terms: (-7 + 14x) + -1(4x2 + 2x + -7) = 0 Remove parenthesis around (-7 + 14x) -7 + 14x + -1(4x2 + 2x + -7) = 0 Reorder the terms: -7 + 14x + -1(-7 + 2x + 4x2) = 0 -7 + 14x + (-7 * -1 + 2x * -1 + 4x2 * -1) = 0 -7 + 14x + (7 + -2x + -4x2) = 0 Reorder the terms: -7 + 7 + 14x + -2x + -4x2 = 0 Combine like terms: -7 + 7 = 0 0 + 14x + -2x + -4x2 = 0 14x + -2x + -4x2 = 0 Combine like terms: 14x + -2x = 12x 12x + -4x2 = 0 Solving 12x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(3 + -1x) = 0 Ignore the factor 4.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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 3}
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