(5x+3)(5x+3)=5(x+3)

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Solution for (5x+3)(5x+3)=5(x+3) equation:


Simplifying
(5x + 3)(5x + 3) = 5(x + 3)

Reorder the terms:
(3 + 5x)(5x + 3) = 5(x + 3)

Reorder the terms:
(3 + 5x)(3 + 5x) = 5(x + 3)

Multiply (3 + 5x) * (3 + 5x)
(3(3 + 5x) + 5x * (3 + 5x)) = 5(x + 3)
((3 * 3 + 5x * 3) + 5x * (3 + 5x)) = 5(x + 3)
((9 + 15x) + 5x * (3 + 5x)) = 5(x + 3)
(9 + 15x + (3 * 5x + 5x * 5x)) = 5(x + 3)
(9 + 15x + (15x + 25x2)) = 5(x + 3)

Combine like terms: 15x + 15x = 30x
(9 + 30x + 25x2) = 5(x + 3)

Reorder the terms:
9 + 30x + 25x2 = 5(3 + x)
9 + 30x + 25x2 = (3 * 5 + x * 5)
9 + 30x + 25x2 = (15 + 5x)

Solving
9 + 30x + 25x2 = 15 + 5x

Solving for variable 'x'.

Reorder the terms:
9 + -15 + 30x + -5x + 25x2 = 15 + 5x + -15 + -5x

Combine like terms: 9 + -15 = -6
-6 + 30x + -5x + 25x2 = 15 + 5x + -15 + -5x

Combine like terms: 30x + -5x = 25x
-6 + 25x + 25x2 = 15 + 5x + -15 + -5x

Reorder the terms:
-6 + 25x + 25x2 = 15 + -15 + 5x + -5x

Combine like terms: 15 + -15 = 0
-6 + 25x + 25x2 = 0 + 5x + -5x
-6 + 25x + 25x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 25x + 25x2 = 0

Factor a trinomial.
(-6 + -5x)(1 + -5x) = 0


Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve:

Simplifying
-6 + -5x = 0

Solving
-6 + -5x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 0 + 6
-5x = 0 + 6

Combine like terms: 0 + 6 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2

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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {-1.2, 0.2}

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