(x+5)(x+5)=4x(x)

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Solution for (x+5)(x+5)=4x(x) equation:


Simplifying
(x + 5)(x + 5) = 4x(x)

Reorder the terms:
(5 + x)(x + 5) = 4x(x)

Reorder the terms:
(5 + x)(5 + x) = 4x(x)

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = 4x(x)
((5 * 5 + x * 5) + x(5 + x)) = 4x(x)
((25 + 5x) + x(5 + x)) = 4x(x)
(25 + 5x + (5 * x + x * x)) = 4x(x)
(25 + 5x + (5x + x2)) = 4x(x)

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = 4x(x)

Multiply x * x
25 + 10x + x2 = 4x2

Solving
25 + 10x + x2 = 4x2

Solving for variable 'x'.

Combine like terms: x2 + -4x2 = -3x2
25 + 10x + -3x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
25 + 10x + -3x2 = 0

Factor a trinomial.
(5 + -1x)(5 + 3x) = 0


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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {5, -1.666666667}

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