25x(x+1)+7=3+5x

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Solution for 25x(x+1)+7=3+5x equation: 


Simplifying
25x(x + 1) + 7 = 3 + 5x

Reorder the terms:
25x(1 + x) + 7 = 3 + 5x
(1 * 25x + x * 25x) + 7 = 3 + 5x
(25x + 25x2) + 7 = 3 + 5x

Reorder the terms:
7 + 25x + 25x2 = 3 + 5x

Solving
7 + 25x + 25x2 = 3 + 5x

Solving for variable 'x'.

Reorder the terms:
7 + -3 + 25x + -5x + 25x2 = 3 + 5x + -3 + -5x

Combine like terms: 7 + -3 = 4
4 + 25x + -5x + 25x2 = 3 + 5x + -3 + -5x

Combine like terms: 25x + -5x = 20x
4 + 20x + 25x2 = 3 + 5x + -3 + -5x

Reorder the terms:
4 + 20x + 25x2 = 3 + -3 + 5x + -5x

Combine like terms: 3 + -3 = 0
4 + 20x + 25x2 = 0 + 5x + -5x
4 + 20x + 25x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 20x + 25x2 = 0

Factor a trinomial.
(2 + 5x)(2 + 5x) = 0


Subproblem 1
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-0.4, -0.4}

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