(5x^3-14x^2)-(7x^3+12x^2)+(-8x^3-2x^2)=

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Solution for (5x^3-14x^2)-(7x^3+12x^2)+(-8x^3-2x^2)= equation: 


Simplifying
(5x3 + -14x2) + -1(7x3 + 12x2) + (-8x3 + -2x2) = 0

Reorder the terms:
(-14x2 + 5x3) + -1(7x3 + 12x2) + (-8x3 + -2x2) = 0

Remove parenthesis around (-14x2 + 5x3)
-14x2 + 5x3 + -1(7x3 + 12x2) + (-8x3 + -2x2) = 0

Reorder the terms:
-14x2 + 5x3 + -1(12x2 + 7x3) + (-8x3 + -2x2) = 0
-14x2 + 5x3 + (12x2 * -1 + 7x3 * -1) + (-8x3 + -2x2) = 0
-14x2 + 5x3 + (-12x2 + -7x3) + (-8x3 + -2x2) = 0

Reorder the terms:
-14x2 + 5x3 + -12x2 + -7x3 + (-2x2 + -8x3) = 0

Remove parenthesis around (-2x2 + -8x3)
-14x2 + 5x3 + -12x2 + -7x3 + -2x2 + -8x3 = 0

Reorder the terms:
-14x2 + -12x2 + -2x2 + 5x3 + -7x3 + -8x3 = 0

Combine like terms: -14x2 + -12x2 = -26x2
-26x2 + -2x2 + 5x3 + -7x3 + -8x3 = 0

Combine like terms: -26x2 + -2x2 = -28x2
-28x2 + 5x3 + -7x3 + -8x3 = 0

Combine like terms: 5x3 + -7x3 = -2x3
-28x2 + -2x3 + -8x3 = 0

Combine like terms: -2x3 + -8x3 = -10x3
-28x2 + -10x3 = 0

Solving
-28x2 + -10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x2'.
-2x2(14 + 5x) = 0

Ignore the factor -2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(14 + 5x)' equal to zero and attempt to solve:

Simplifying
14 + 5x = 0

Solving
14 + 5x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 5x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 0 + -14
5x = 0 + -14

Combine like terms: 0 + -14 = -14
5x = -14

Divide each side by '5'.
x = -2.8

Simplifying
x = -2.8
Solution
x = {0, -2.8}

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