(5x-4)(5x-4)=49

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Solution for (5x-4)(5x-4)=49 equation: 


Simplifying
(5x + -4)(5x + -4) = 49

Reorder the terms:
(-4 + 5x)(5x + -4) = 49

Reorder the terms:
(-4 + 5x)(-4 + 5x) = 49

Multiply (-4 + 5x) * (-4 + 5x)
(-4(-4 + 5x) + 5x * (-4 + 5x)) = 49
((-4 * -4 + 5x * -4) + 5x * (-4 + 5x)) = 49
((16 + -20x) + 5x * (-4 + 5x)) = 49
(16 + -20x + (-4 * 5x + 5x * 5x)) = 49
(16 + -20x + (-20x + 25x2)) = 49

Combine like terms: -20x + -20x = -40x
(16 + -40x + 25x2) = 49

Solving
16 + -40x + 25x2 = 49

Solving for variable 'x'.

Reorder the terms:
16 + -49 + -40x + 25x2 = 49 + -49

Combine like terms: 16 + -49 = -33
-33 + -40x + 25x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-33 + -40x + 25x2 = 0

Factor a trinomial.
(-3 + -5x)(11 + -5x) = 0


Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 2
Set the factor '(11 + -5x)' equal to zero and attempt to solve:

Simplifying
11 + -5x = 0

Solving
11 + -5x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 0 + -11
-5x = 0 + -11

Combine like terms: 0 + -11 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2
Solution
x = {-0.6, 2.2}

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