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Simplifying 2g(g + -6) + 3g(g + -7) = 0 Reorder the terms: 2g(-6 + g) + 3g(g + -7) = 0 (-6 * 2g + g * 2g) + 3g(g + -7) = 0 (-12g + 2g2) + 3g(g + -7) = 0 Reorder the terms: -12g + 2g2 + 3g(-7 + g) = 0 -12g + 2g2 + (-7 * 3g + g * 3g) = 0 -12g + 2g2 + (-21g + 3g2) = 0 Reorder the terms: -12g + -21g + 2g2 + 3g2 = 0 Combine like terms: -12g + -21g = -33g -33g + 2g2 + 3g2 = 0 Combine like terms: 2g2 + 3g2 = 5g2 -33g + 5g2 = 0 Solving -33g + 5g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(-33 + 5g) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(-33 + 5g)' equal to zero and attempt to solve: Simplifying -33 + 5g = 0 Solving -33 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 5g = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 5g = 0 + 33 5g = 0 + 33 Combine like terms: 0 + 33 = 33 5g = 33 Divide each side by '5'. g = 6.6 Simplifying g = 6.6Solution
g = {0, 6.6}
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