(2+5x)-(3+4x^2)=

Solution for (2+5x)-(3+4x^2)= equation:

Simplifying
(2 + 5x) + -1(3 + 4x2) = 0

Remove parenthesis around (2 + 5x)
2 + 5x + -1(3 + 4x2) = 0
2 + 5x + (3 * -1 + 4x2 * -1) = 0
2 + 5x + (-3 + -4x2) = 0

Reorder the terms:
2 + -3 + 5x + -4x2 = 0

Combine like terms: 2 + -3 = -1
-1 + 5x + -4x2 = 0

Solving
-1 + 5x + -4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + x)(1 + -4x) = 0

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

Simplifying
-1 + x = 0

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {1, 0.25}