=(10x-11)(-14x+9)

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Solution for =(10x-11)(-14x+9) equation: 


Simplifying
0 = (10x + -11)(-14x + 9)

Reorder the terms:
0 = (-11 + 10x)(-14x + 9)

Reorder the terms:
0 = (-11 + 10x)(9 + -14x)

Multiply (-11 + 10x) * (9 + -14x)
0 = (-11(9 + -14x) + 10x * (9 + -14x))
0 = ((9 * -11 + -14x * -11) + 10x * (9 + -14x))
0 = ((-99 + 154x) + 10x * (9 + -14x))
0 = (-99 + 154x + (9 * 10x + -14x * 10x))
0 = (-99 + 154x + (90x + -140x2))

Combine like terms: 154x + 90x = 244x
0 = (-99 + 244x + -140x2)

Solving
0 = -99 + 244x + -140x2

Solving for variable 'x'.

Combine like terms: 0 + 99 = 99
99 + -244x + 140x2 = -99 + 244x + -140x2 + 99 + -244x + 140x2

Reorder the terms:
99 + -244x + 140x2 = -99 + 99 + 244x + -244x + -140x2 + 140x2

Combine like terms: -99 + 99 = 0
99 + -244x + 140x2 = 0 + 244x + -244x + -140x2 + 140x2
99 + -244x + 140x2 = 244x + -244x + -140x2 + 140x2

Combine like terms: 244x + -244x = 0
99 + -244x + 140x2 = 0 + -140x2 + 140x2
99 + -244x + 140x2 = -140x2 + 140x2

Combine like terms: -140x2 + 140x2 = 0
99 + -244x + 140x2 = 0

Factor a trinomial.
(9 + -14x)(11 + -10x) = 0


Subproblem 1
Set the factor '(9 + -14x)' equal to zero and attempt to solve:

Simplifying
9 + -14x = 0

Solving
9 + -14x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -14x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -14x = 0 + -9
-14x = 0 + -9

Combine like terms: 0 + -9 = -9
-14x = -9

Divide each side by '-14'.
x = 0.6428571429

Simplifying
x = 0.6428571429

Subproblem 2
Set the factor '(11 + -10x)' equal to zero and attempt to solve:

Simplifying
11 + -10x = 0

Solving
11 + -10x = 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 + -10x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -10x = 0 + -11
-10x = 0 + -11

Combine like terms: 0 + -11 = -11
-10x = -11

Divide each side by '-10'.
x = 1.1

Simplifying
x = 1.1
Solution
x = {0.6428571429, 1.1}

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