=(-7x-11)(19x-14)

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Solution for =(-7x-11)(19x-14) equation: 


Simplifying
0 = (-7x + -11)(19x + -14)

Reorder the terms:
0 = (-11 + -7x)(19x + -14)

Reorder the terms:
0 = (-11 + -7x)(-14 + 19x)

Multiply (-11 + -7x) * (-14 + 19x)
0 = (-11(-14 + 19x) + -7x * (-14 + 19x))
0 = ((-14 * -11 + 19x * -11) + -7x * (-14 + 19x))
0 = ((154 + -209x) + -7x * (-14 + 19x))
0 = (154 + -209x + (-14 * -7x + 19x * -7x))
0 = (154 + -209x + (98x + -133x2))

Combine like terms: -209x + 98x = -111x
0 = (154 + -111x + -133x2)

Solving
0 = 154 + -111x + -133x2

Solving for variable 'x'.

Combine like terms: 0 + -154 = -154
-154 + 111x + 133x2 = 154 + -111x + -133x2 + -154 + 111x + 133x2

Reorder the terms:
-154 + 111x + 133x2 = 154 + -154 + -111x + 111x + -133x2 + 133x2

Combine like terms: 154 + -154 = 0
-154 + 111x + 133x2 = 0 + -111x + 111x + -133x2 + 133x2
-154 + 111x + 133x2 = -111x + 111x + -133x2 + 133x2

Combine like terms: -111x + 111x = 0
-154 + 111x + 133x2 = 0 + -133x2 + 133x2
-154 + 111x + 133x2 = -133x2 + 133x2

Combine like terms: -133x2 + 133x2 = 0
-154 + 111x + 133x2 = 0

Factor a trinomial.
(-11 + -7x)(14 + -19x) = 0


Subproblem 1
Set the factor '(-11 + -7x)' equal to zero and attempt to solve:

Simplifying
-11 + -7x = 0

Solving
-11 + -7x = 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 + -7x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -7x = 0 + 11
-7x = 0 + 11

Combine like terms: 0 + 11 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

Subproblem 2
Set the factor '(14 + -19x)' equal to zero and attempt to solve:

Simplifying
14 + -19x = 0

Solving
14 + -19x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -19x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -19x = 0 + -14
-19x = 0 + -14

Combine like terms: 0 + -14 = -14
-19x = -14

Divide each side by '-19'.
x = 0.7368421053

Simplifying
x = 0.7368421053
Solution
x = {-1.571428571, 0.7368421053}

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