x(x^2-3x)+x^2(4x+7)=

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


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

Reorder the terms:
x(-3x + x2) + x2(4x + 7) = 0
(-3x * x + x2 * x) + x2(4x + 7) = 0
(-3x2 + x3) + x2(4x + 7) = 0

Reorder the terms:
-3x2 + x3 + x2(7 + 4x) = 0
-3x2 + x3 + (7 * x2 + 4x * x2) = 0
-3x2 + x3 + (7x2 + 4x3) = 0

Reorder the terms:
-3x2 + 7x2 + x3 + 4x3 = 0

Combine like terms: -3x2 + 7x2 = 4x2
4x2 + x3 + 4x3 = 0

Combine like terms: x3 + 4x3 = 5x3
4x2 + 5x3 = 0

Solving
4x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(4 + 5x) = 0


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 '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 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 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {0, -0.8}

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