2x(6x+4)+7x-4x^2=

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Solution for 2x(6x+4)+7x-4x^2= equation: 


Simplifying
2x(6x + 4) + 7x + -4x2 = 0

Reorder the terms:
2x(4 + 6x) + 7x + -4x2 = 0
(4 * 2x + 6x * 2x) + 7x + -4x2 = 0
(8x + 12x2) + 7x + -4x2 = 0

Reorder the terms:
8x + 7x + 12x2 + -4x2 = 0

Combine like terms: 8x + 7x = 15x
15x + 12x2 + -4x2 = 0

Combine like terms: 12x2 + -4x2 = 8x2
15x + 8x2 = 0

Solving
15x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + 8x) = 0


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 '(15 + 8x)' equal to zero and attempt to solve:

Simplifying
15 + 8x = 0

Solving
15 + 8x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 8x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 0 + -15
8x = 0 + -15

Combine like terms: 0 + -15 = -15
8x = -15

Divide each side by '8'.
x = -1.875

Simplifying
x = -1.875
Solution
x = {0, -1.875}

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