x-3+6x^2(4)=

Solution for x-3+6x^2(4)= equation:

Simplifying
x + -3 + 6x2(4) = 0

Reorder the terms for easier multiplication:
x + -3 + 6 * 4x2 = 0

Multiply 6 * 4
x + -3 + 24x2 = 0

Reorder the terms:
-3 + x + 24x2 = 0

Solving
-3 + x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -8x)(1 + -3x) = 0

Subproblem 1
Set the factor '(-3 + -8x)' equal to zero and attempt to solve:

Simplifying
-3 + -8x = 0

Solving
-3 + -8x = 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 + -8x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8x = 0 + 3
-8x = 0 + 3

Combine like terms: 0 + 3 = 3
-8x = 3

Divide each side by '-8'.
x = -0.375

Simplifying
x = -0.375
Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-0.375, 0.3333333333}