(5r^10-7q)(5r^10-7q)=

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Solution for (5r^10-7q)(5r^10-7q)= equation: 


Simplifying
(5r10 + -7q)(5r10 + -7q) = 0

Reorder the terms:
(-7q + 5r10)(5r10 + -7q) = 0

Reorder the terms:
(-7q + 5r10)(-7q + 5r10) = 0

Multiply (-7q + 5r10) * (-7q + 5r10)
(-7q * (-7q + 5r10) + 5r10 * (-7q + 5r10)) = 0
((-7q * -7q + 5r10 * -7q) + 5r10 * (-7q + 5r10)) = 0

Reorder the terms:
((-35qr10 + 49q2) + 5r10 * (-7q + 5r10)) = 0
((-35qr10 + 49q2) + 5r10 * (-7q + 5r10)) = 0
(-35qr10 + 49q2 + (-7q * 5r10 + 5r10 * 5r10)) = 0
(-35qr10 + 49q2 + (-35qr10 + 25r20)) = 0

Reorder the terms:
(-35qr10 + -35qr10 + 49q2 + 25r20) = 0

Combine like terms: -35qr10 + -35qr10 = -70qr10
(-70qr10 + 49q2 + 25r20) = 0

Solving
-70qr10 + 49q2 + 25r20 = 0

Solving for variable 'q'.

Factor a trinomial.
(7q + -5r10)(7q + -5r10) = 0


Subproblem 1
Set the factor '(7q + -5r10)' equal to zero and attempt to solve:

Simplifying
7q + -5r10 = 0

Solving
7q + -5r10 = 0

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

Add '5r10' to each side of the equation.
7q + -5r10 + 5r10 = 0 + 5r10

Combine like terms: -5r10 + 5r10 = 0
7q + 0 = 0 + 5r10
7q = 0 + 5r10
Remove the zero:
7q = 5r10

Divide each side by '7'.
q = 0.7142857143r10

Simplifying
q = 0.7142857143r10

Subproblem 2
Set the factor '(7q + -5r10)' equal to zero and attempt to solve:

Simplifying
7q + -5r10 = 0

Solving
7q + -5r10 = 0

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

Add '5r10' to each side of the equation.
7q + -5r10 + 5r10 = 0 + 5r10

Combine like terms: -5r10 + 5r10 = 0
7q + 0 = 0 + 5r10
7q = 0 + 5r10
Remove the zero:
7q = 5r10

Divide each side by '7'.
q = 0.7142857143r10

Simplifying
q = 0.7142857143r10
Solution
q = {0.7142857143r10, 0.7142857143r10}

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