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

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


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

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

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

Multiply (-7 + 4g) * (7 + 2g)
(-7(7 + 2g) + 4g * (7 + 2g)) = 0
((7 * -7 + 2g * -7) + 4g * (7 + 2g)) = 0
((-49 + -14g) + 4g * (7 + 2g)) = 0
(-49 + -14g + (7 * 4g + 2g * 4g)) = 0
(-49 + -14g + (28g + 8g2)) = 0

Combine like terms: -14g + 28g = 14g
(-49 + 14g + 8g2) = 0

Solving
-49 + 14g + 8g2 = 0

Solving for variable 'g'.

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


Subproblem 1
Set the factor '(-7 + -2g)' equal to zero and attempt to solve:

Simplifying
-7 + -2g = 0

Solving
-7 + -2g = 0

Move all terms containing g to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -2g = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2g = 0 + 7
-2g = 0 + 7

Combine like terms: 0 + 7 = 7
-2g = 7

Divide each side by '-2'.
g = -3.5

Simplifying
g = -3.5

Subproblem 2
Set the factor '(7 + -4g)' equal to zero and attempt to solve:

Simplifying
7 + -4g = 0

Solving
7 + -4g = 0

Move all terms containing g to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -4g = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4g = 0 + -7
-4g = 0 + -7

Combine like terms: 0 + -7 = -7
-4g = -7

Divide each side by '-4'.
g = 1.75

Simplifying
g = 1.75
Solution
g = {-3.5, 1.75}

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