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Simplifying (2g + -1)(2g + -1) = 0 Reorder the terms: (-1 + 2g)(2g + -1) = 0 Reorder the terms: (-1 + 2g)(-1 + 2g) = 0 Multiply (-1 + 2g) * (-1 + 2g) (-1(-1 + 2g) + 2g * (-1 + 2g)) = 0 ((-1 * -1 + 2g * -1) + 2g * (-1 + 2g)) = 0 ((1 + -2g) + 2g * (-1 + 2g)) = 0 (1 + -2g + (-1 * 2g + 2g * 2g)) = 0 (1 + -2g + (-2g + 4g2)) = 0 Combine like terms: -2g + -2g = -4g (1 + -4g + 4g2) = 0 Solving 1 + -4g + 4g2 = 0 Solving for variable 'g'. Factor a trinomial. (1 + -2g)(1 + -2g) = 0Subproblem 1
Set the factor '(1 + -2g)' equal to zero and attempt to solve: Simplifying 1 + -2g = 0 Solving 1 + -2g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2g = 0 + -1 -2g = 0 + -1 Combine like terms: 0 + -1 = -1 -2g = -1 Divide each side by '-2'. g = 0.5 Simplifying g = 0.5Subproblem 2
Set the factor '(1 + -2g)' equal to zero and attempt to solve: Simplifying 1 + -2g = 0 Solving 1 + -2g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2g = 0 + -1 -2g = 0 + -1 Combine like terms: 0 + -1 = -1 -2g = -1 Divide each side by '-2'. g = 0.5 Simplifying g = 0.5Solution
g = {0.5, 0.5}
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