4x^2+40x+3=3

Solution for 4x^2+40x+3=3 equation:

Simplifying
4x2 + 40x + 3 = 3

Reorder the terms:
3 + 40x + 4x2 = 3

Add '-3' to each side of the equation.
3 + 40x + -3 + 4x2 = 3 + -3

Reorder the terms:
3 + -3 + 40x + 4x2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 40x + 4x2 = 3 + -3
40x + 4x2 = 3 + -3

Combine like terms: 3 + -3 = 0
40x + 4x2 = 0

Solving
40x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(10 + x) = 0

Ignore the factor 4.
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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {0, -10}