16r^2-40rg+25g^2=

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Solution for 16r^2-40rg+25g^2= equation:


Simplifying
16r2 + -40rg + 25g2 = 0

Reorder the terms:
-40gr + 25g2 + 16r2 = 0

Solving
-40gr + 25g2 + 16r2 = 0

Solving for variable 'g'.

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

Subproblem 1

Set the factor '(5g + -4r)' equal to zero and attempt to solve: Simplifying 5g + -4r = 0 Solving 5g + -4r = 0 Move all terms containing g to the left, all other terms to the right. Add '4r' to each side of the equation. 5g + -4r + 4r = 0 + 4r Combine like terms: -4r + 4r = 0 5g + 0 = 0 + 4r 5g = 0 + 4r Remove the zero: 5g = 4r Divide each side by '5'. g = 0.8r Simplifying g = 0.8r

Subproblem 2

Set the factor '(5g + -4r)' equal to zero and attempt to solve: Simplifying 5g + -4r = 0 Solving 5g + -4r = 0 Move all terms containing g to the left, all other terms to the right. Add '4r' to each side of the equation. 5g + -4r + 4r = 0 + 4r Combine like terms: -4r + 4r = 0 5g + 0 = 0 + 4r 5g = 0 + 4r Remove the zero: 5g = 4r Divide each side by '5'. g = 0.8r Simplifying g = 0.8r

Solution

g = {0.8r, 0.8r}

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