(7x-14)(4x+19)=

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Solution for (7x-14)(4x+19)= equation: 


Simplifying
(7x + -14)(4x + 19) = 0

Reorder the terms:
(-14 + 7x)(4x + 19) = 0

Reorder the terms:
(-14 + 7x)(19 + 4x) = 0

Multiply (-14 + 7x) * (19 + 4x)
(-14(19 + 4x) + 7x * (19 + 4x)) = 0
((19 * -14 + 4x * -14) + 7x * (19 + 4x)) = 0
((-266 + -56x) + 7x * (19 + 4x)) = 0
(-266 + -56x + (19 * 7x + 4x * 7x)) = 0
(-266 + -56x + (133x + 28x2)) = 0

Combine like terms: -56x + 133x = 77x
(-266 + 77x + 28x2) = 0

Solving
-266 + 77x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-38 + 11x + 4x2) = 0

Factor a trinomial.
7((-19 + -4x)(2 + -1x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-19 + -4x)' equal to zero and attempt to solve:

Simplifying
-19 + -4x = 0

Solving
-19 + -4x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -4x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -4x = 0 + 19
-4x = 0 + 19

Combine like terms: 0 + 19 = 19
-4x = 19

Divide each side by '-4'.
x = -4.75

Simplifying
x = -4.75

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-4.75, 2}

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