100x^2-40x=-3

Solution for 100x^2-40x=-3 equation:

Simplifying
100x2 + -40x = -3

Reorder the terms:
-40x + 100x2 = -3

Solving
-40x + 100x2 = -3

Solving for variable 'x'.

Reorder the terms:
3 + -40x + 100x2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -40x + 100x2 = 0

Factor a trinomial.
(1 + -10x)(3 + -10x) = 0

Subproblem 1
Set the factor '(1 + -10x)' equal to zero and attempt to solve:

Simplifying
1 + -10x = 0

Solving
1 + -10x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -10x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10x = 0 + -1
-10x = 0 + -1

Combine like terms: 0 + -1 = -1
-10x = -1

Divide each side by '-10'.
x = 0.1

Simplifying
x = 0.1
Subproblem 2
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {0.1, 0.3}