0=-2(7x^2-20)-19x

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Solution for 0=-2(7x^2-20)-19x equation: 


Simplifying
0 = -2(7x2 + -20) + -19x

Reorder the terms:
0 = -2(-20 + 7x2) + -19x
0 = (-20 * -2 + 7x2 * -2) + -19x
0 = (40 + -14x2) + -19x

Reorder the terms:
0 = 40 + -19x + -14x2

Solving
0 = 40 + -19x + -14x2

Solving for variable 'x'.

Combine like terms: 0 + -40 = -40
-40 + 19x + 14x2 = 40 + -19x + -14x2 + -40 + 19x + 14x2

Reorder the terms:
-40 + 19x + 14x2 = 40 + -40 + -19x + 19x + -14x2 + 14x2

Combine like terms: 40 + -40 = 0
-40 + 19x + 14x2 = 0 + -19x + 19x + -14x2 + 14x2
-40 + 19x + 14x2 = -19x + 19x + -14x2 + 14x2

Combine like terms: -19x + 19x = 0
-40 + 19x + 14x2 = 0 + -14x2 + 14x2
-40 + 19x + 14x2 = -14x2 + 14x2

Combine like terms: -14x2 + 14x2 = 0
-40 + 19x + 14x2 = 0

Factor a trinomial.
(-5 + -2x)(8 + -7x) = 0


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

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-2.5, 1.142857143}

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