x*x-3=4x+2

Simple and best practice solution for x*x-3=4x+2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x*x-3=4x+2 equation:


Simplifying
x * x + -3 = 4x + 2

Multiply x * x
x2 + -3 = 4x + 2

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

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

Solving
-3 + x2 = 2 + 4x

Solving for variable 'x'.

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

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

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

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

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

Factor a trinomial.
(-1 + -1x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-1, 5}

See similar equations:

| g/15+30=125 | | 5x-6=6x+7 | | 11/x+2=5/7 | | x/10+3x/5 | | 2c+3=17 | | Ix-5I=1 | | X/3+10=17 | | 3x-d=c | | 8x+14x-7=180 | | 5/7+9/x=7/8 | | 6x^4-18x^3+30x^2=0 | | 187/22 | | 8/3(x+5)=4 | | 200.00+0.05d=400 | | 3.25+10c=8.75 | | 332-14/6 | | logx+log(x-15)=2 | | 75.00+0.10d=400 | | 5/12x-25=0 | | x*6+106=x*11-9 | | -2n-6=-2(n+8) | | 2x(x-4)=8+6x^2 | | (-7-3i)*(-7+3i)=0 | | 3(x+4)-6(x-2)=x+8x | | 23-4=27 | | (x^2-3x-40)/(x+5)=0 | | 3/x+2/x-2-2/x^2 | | -4=8-3/8k | | 5x+3x/4=0 | | -5(v+4)=6-3(v+2) | | 5x+3x/4 | | 48-2=4x |

Equations solver categories