(4g+5)(7g-2)=0

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Solution for (4g+5)(7g-2)=0 equation:


Simplifying
(4g + 5)(7g + -2) = 0

Reorder the terms:
(5 + 4g)(7g + -2) = 0

Reorder the terms:
(5 + 4g)(-2 + 7g) = 0

Multiply (5 + 4g) * (-2 + 7g)
(5(-2 + 7g) + 4g * (-2 + 7g)) = 0
((-2 * 5 + 7g * 5) + 4g * (-2 + 7g)) = 0
((-10 + 35g) + 4g * (-2 + 7g)) = 0
(-10 + 35g + (-2 * 4g + 7g * 4g)) = 0
(-10 + 35g + (-8g + 28g2)) = 0

Combine like terms: 35g + -8g = 27g
(-10 + 27g + 28g2) = 0

Solving
-10 + 27g + 28g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-5 + -4g)(2 + -7g) = 0

Subproblem 1

Set the factor '(-5 + -4g)' equal to zero and attempt to solve: Simplifying -5 + -4g = 0 Solving -5 + -4g = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4g = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4g = 0 + 5 -4g = 0 + 5 Combine like terms: 0 + 5 = 5 -4g = 5 Divide each side by '-4'. g = -1.25 Simplifying g = -1.25

Subproblem 2

Set the factor '(2 + -7g)' equal to zero and attempt to solve: Simplifying 2 + -7g = 0 Solving 2 + -7g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7g = 0 + -2 -7g = 0 + -2 Combine like terms: 0 + -2 = -2 -7g = -2 Divide each side by '-7'. g = 0.2857142857 Simplifying g = 0.2857142857

Solution

g = {-1.25, 0.2857142857}

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