9x(x-10)=4(x-10)

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Solution for 9x(x-10)=4(x-10) equation: 


Simplifying
9x(x + -10) = 4(x + -10)

Reorder the terms:
9x(-10 + x) = 4(x + -10)
(-10 * 9x + x * 9x) = 4(x + -10)
(-90x + 9x2) = 4(x + -10)

Reorder the terms:
-90x + 9x2 = 4(-10 + x)
-90x + 9x2 = (-10 * 4 + x * 4)
-90x + 9x2 = (-40 + 4x)

Solving
-90x + 9x2 = -40 + 4x

Solving for variable 'x'.

Reorder the terms:
40 + -90x + -4x + 9x2 = -40 + 4x + 40 + -4x

Combine like terms: -90x + -4x = -94x
40 + -94x + 9x2 = -40 + 4x + 40 + -4x

Reorder the terms:
40 + -94x + 9x2 = -40 + 40 + 4x + -4x

Combine like terms: -40 + 40 = 0
40 + -94x + 9x2 = 0 + 4x + -4x
40 + -94x + 9x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
40 + -94x + 9x2 = 0

Factor a trinomial.
(4 + -9x)(10 + -1x) = 0


Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {0.4444444444, 10}

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