(9-5x)(9-5x)=49

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Solution for (9-5x)(9-5x)=49 equation: 


Simplifying
(9 + -5x)(9 + -5x) = 49

Multiply (9 + -5x) * (9 + -5x)
(9(9 + -5x) + -5x * (9 + -5x)) = 49
((9 * 9 + -5x * 9) + -5x * (9 + -5x)) = 49
((81 + -45x) + -5x * (9 + -5x)) = 49
(81 + -45x + (9 * -5x + -5x * -5x)) = 49
(81 + -45x + (-45x + 25x2)) = 49

Combine like terms: -45x + -45x = -90x
(81 + -90x + 25x2) = 49

Solving
81 + -90x + 25x2 = 49

Solving for variable 'x'.

Reorder the terms:
81 + -49 + -90x + 25x2 = 49 + -49

Combine like terms: 81 + -49 = 32
32 + -90x + 25x2 = 49 + -49

Combine like terms: 49 + -49 = 0
32 + -90x + 25x2 = 0

Factor a trinomial.
(2 + -5x)(16 + -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 '(16 + -5x)' equal to zero and attempt to solve:

Simplifying
16 + -5x = 0

Solving
16 + -5x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -5x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 0 + -16
-5x = 0 + -16

Combine like terms: 0 + -16 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2
Solution
x = {0.4, 3.2}

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