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Simplifying (9g + -4)(9g + -4) = 0 Reorder the terms: (-4 + 9g)(9g + -4) = 0 Reorder the terms: (-4 + 9g)(-4 + 9g) = 0 Multiply (-4 + 9g) * (-4 + 9g) (-4(-4 + 9g) + 9g * (-4 + 9g)) = 0 ((-4 * -4 + 9g * -4) + 9g * (-4 + 9g)) = 0 ((16 + -36g) + 9g * (-4 + 9g)) = 0 (16 + -36g + (-4 * 9g + 9g * 9g)) = 0 (16 + -36g + (-36g + 81g2)) = 0 Combine like terms: -36g + -36g = -72g (16 + -72g + 81g2) = 0 Solving 16 + -72g + 81g2 = 0 Solving for variable 'g'. Factor a trinomial. (4 + -9g)(4 + -9g) = 0Subproblem 1
Set the factor '(4 + -9g)' equal to zero and attempt to solve: Simplifying 4 + -9g = 0 Solving 4 + -9g = 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 + -9g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9g = 0 + -4 -9g = 0 + -4 Combine like terms: 0 + -4 = -4 -9g = -4 Divide each side by '-9'. g = 0.4444444444 Simplifying g = 0.4444444444Subproblem 2
Set the factor '(4 + -9g)' equal to zero and attempt to solve: Simplifying 4 + -9g = 0 Solving 4 + -9g = 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 + -9g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9g = 0 + -4 -9g = 0 + -4 Combine like terms: 0 + -4 = -4 -9g = -4 Divide each side by '-9'. g = 0.4444444444 Simplifying g = 0.4444444444Solution
g = {0.4444444444, 0.4444444444}
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