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Simplifying (g + -4)(g + -4) = 0 Reorder the terms: (-4 + g)(g + -4) = 0 Reorder the terms: (-4 + g)(-4 + g) = 0 Multiply (-4 + g) * (-4 + g) (-4(-4 + g) + g(-4 + g)) = 0 ((-4 * -4 + g * -4) + g(-4 + g)) = 0 ((16 + -4g) + g(-4 + g)) = 0 (16 + -4g + (-4 * g + g * g)) = 0 (16 + -4g + (-4g + g2)) = 0 Combine like terms: -4g + -4g = -8g (16 + -8g + g2) = 0 Solving 16 + -8g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (4 + -1g)(4 + -1g) = 0Subproblem 1
Set the factor '(4 + -1g)' equal to zero and attempt to solve: Simplifying 4 + -1g = 0 Solving 4 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 0 + -4 -1g = 0 + -4 Combine like terms: 0 + -4 = -4 -1g = -4 Divide each side by '-1'. g = 4 Simplifying g = 4Subproblem 2
Set the factor '(4 + -1g)' equal to zero and attempt to solve: Simplifying 4 + -1g = 0 Solving 4 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 0 + -4 -1g = 0 + -4 Combine like terms: 0 + -4 = -4 -1g = -4 Divide each side by '-1'. g = 4 Simplifying g = 4Solution
g = {4, 4}
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