4x(3x-7)-19x^2=0

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Solution for 4x(3x-7)-19x^2=0 equation: 


Simplifying
4x(3x + -7) + -19x2 = 0

Reorder the terms:
4x(-7 + 3x) + -19x2 = 0
(-7 * 4x + 3x * 4x) + -19x2 = 0
(-28x + 12x2) + -19x2 = 0

Combine like terms: 12x2 + -19x2 = -7x2
-28x + -7x2 = 0

Solving
-28x + -7x2 = 0

Solving for variable 'x'.

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

Ignore the factor -7.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

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

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

Simplifying
x = -4
Solution
x = {0, -4}

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