2(x-5)(x+5)=21x

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Solution for 2(x-5)(x+5)=21x equation: 


Simplifying
2(x + -5)(x + 5) = 21x

Reorder the terms:
2(-5 + x)(x + 5) = 21x

Reorder the terms:
2(-5 + x)(5 + x) = 21x

Multiply (-5 + x) * (5 + x)
2(-5(5 + x) + x(5 + x)) = 21x
2((5 * -5 + x * -5) + x(5 + x)) = 21x
2((-25 + -5x) + x(5 + x)) = 21x
2(-25 + -5x + (5 * x + x * x)) = 21x
2(-25 + -5x + (5x + x2)) = 21x

Combine like terms: -5x + 5x = 0
2(-25 + 0 + x2) = 21x
2(-25 + x2) = 21x
(-25 * 2 + x2 * 2) = 21x
(-50 + 2x2) = 21x

Solving
-50 + 2x2 = 21x

Solving for variable 'x'.

Reorder the terms:
-50 + -21x + 2x2 = 21x + -21x

Combine like terms: 21x + -21x = 0
-50 + -21x + 2x2 = 0

Factor a trinomial.
(-2 + -1x)(25 + -2x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(25 + -2x)' equal to zero and attempt to solve:

Simplifying
25 + -2x = 0

Solving
25 + -2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = 0 + -25
-2x = 0 + -25

Combine like terms: 0 + -25 = -25
-2x = -25

Divide each side by '-2'.
x = 12.5

Simplifying
x = 12.5
Solution
x = {-2, 12.5}

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