(35x-14)(6x+11)=6601

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Solution for (35x-14)(6x+11)=6601 equation: 


Simplifying
(35x + -14)(6x + 11) = 6601

Reorder the terms:
(-14 + 35x)(6x + 11) = 6601

Reorder the terms:
(-14 + 35x)(11 + 6x) = 6601

Multiply (-14 + 35x) * (11 + 6x)
(-14(11 + 6x) + 35x * (11 + 6x)) = 6601
((11 * -14 + 6x * -14) + 35x * (11 + 6x)) = 6601
((-154 + -84x) + 35x * (11 + 6x)) = 6601
(-154 + -84x + (11 * 35x + 6x * 35x)) = 6601
(-154 + -84x + (385x + 210x2)) = 6601

Combine like terms: -84x + 385x = 301x
(-154 + 301x + 210x2) = 6601

Solving
-154 + 301x + 210x2 = 6601

Solving for variable 'x'.

Reorder the terms:
-154 + -6601 + 301x + 210x2 = 6601 + -6601

Combine like terms: -154 + -6601 = -6755
-6755 + 301x + 210x2 = 6601 + -6601

Combine like terms: 6601 + -6601 = 0
-6755 + 301x + 210x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-965 + 43x + 30x2) = 0

Factor a trinomial.
7((-193 + -30x)(5 + -1x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-193 + -30x)' equal to zero and attempt to solve:

Simplifying
-193 + -30x = 0

Solving
-193 + -30x = 0

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

Add '193' to each side of the equation.
-193 + 193 + -30x = 0 + 193

Combine like terms: -193 + 193 = 0
0 + -30x = 0 + 193
-30x = 0 + 193

Combine like terms: 0 + 193 = 193
-30x = 193

Divide each side by '-30'.
x = -6.433333333

Simplifying
x = -6.433333333

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-6.433333333, 5}

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