(5x+3)(5x+3)=16

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Solution for (5x+3)(5x+3)=16 equation: 


Simplifying
(5x + 3)(5x + 3) = 16

Reorder the terms:
(3 + 5x)(5x + 3) = 16

Reorder the terms:
(3 + 5x)(3 + 5x) = 16

Multiply (3 + 5x) * (3 + 5x)
(3(3 + 5x) + 5x * (3 + 5x)) = 16
((3 * 3 + 5x * 3) + 5x * (3 + 5x)) = 16
((9 + 15x) + 5x * (3 + 5x)) = 16
(9 + 15x + (3 * 5x + 5x * 5x)) = 16
(9 + 15x + (15x + 25x2)) = 16

Combine like terms: 15x + 15x = 30x
(9 + 30x + 25x2) = 16

Solving
9 + 30x + 25x2 = 16

Solving for variable 'x'.

Reorder the terms:
9 + -16 + 30x + 25x2 = 16 + -16

Combine like terms: 9 + -16 = -7
-7 + 30x + 25x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-7 + 30x + 25x2 = 0

Factor a trinomial.
(-7 + -5x)(1 + -5x) = 0


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

Simplifying
-7 + -5x = 0

Solving
-7 + -5x = 0

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

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

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

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 = {-1.4, 0.2}

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