x^2+4x+3=45x

Simple and best practice solution for x^2+4x+3=45x 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^2+4x+3=45x equation:


Simplifying
x2 + 4x + 3 = 45x

Reorder the terms:
3 + 4x + x2 = 45x

Solving
3 + 4x + x2 = 45x

Solving for variable 'x'.

Reorder the terms:
3 + 4x + -45x + x2 = 45x + -45x

Combine like terms: 4x + -45x = -41x
3 + -41x + x2 = 45x + -45x

Combine like terms: 45x + -45x = 0
3 + -41x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -41x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -41x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -41x + x2 = 0 + -3
-41x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-41x + x2 = -3

The x term is -41x.  Take half its coefficient (-20.5).
Square it (420.25) and add it to both sides.

Add '420.25' to each side of the equation.
-41x + 420.25 + x2 = -3 + 420.25

Reorder the terms:
420.25 + -41x + x2 = -3 + 420.25

Combine like terms: -3 + 420.25 = 417.25
420.25 + -41x + x2 = 417.25

Factor a perfect square on the left side:
(x + -20.5)(x + -20.5) = 417.25

Calculate the square root of the right side: 20.426698216

Break this problem into two subproblems by setting 
(x + -20.5) equal to 20.426698216 and -20.426698216.

Subproblem 1

x + -20.5 = 20.426698216 Simplifying x + -20.5 = 20.426698216 Reorder the terms: -20.5 + x = 20.426698216 Solving -20.5 + x = 20.426698216 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20.5' to each side of the equation. -20.5 + 20.5 + x = 20.426698216 + 20.5 Combine like terms: -20.5 + 20.5 = 0.0 0.0 + x = 20.426698216 + 20.5 x = 20.426698216 + 20.5 Combine like terms: 20.426698216 + 20.5 = 40.926698216 x = 40.926698216 Simplifying x = 40.926698216

Subproblem 2

x + -20.5 = -20.426698216 Simplifying x + -20.5 = -20.426698216 Reorder the terms: -20.5 + x = -20.426698216 Solving -20.5 + x = -20.426698216 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20.5' to each side of the equation. -20.5 + 20.5 + x = -20.426698216 + 20.5 Combine like terms: -20.5 + 20.5 = 0.0 0.0 + x = -20.426698216 + 20.5 x = -20.426698216 + 20.5 Combine like terms: -20.426698216 + 20.5 = 0.073301784 x = 0.073301784 Simplifying x = 0.073301784

Solution

The solution to the problem is based on the solutions from the subproblems. x = {40.926698216, 0.073301784}

See similar equations:

| -5+(-7)+4= | | x-(-2)=1.333333333(x-4) | | 4x+x=55 | | 6(x+1)=3x+2 | | 7x-5y=2 | | L+w^2=50 | | 8x^3+125= | | 2.1+1.3x-4.6=2.2 | | 3x^4-10x^2-8= | | 4y-3x=7 | | 3(2x+11)=6x+11 | | 11+n=3 | | 4x^2+4x-4=0 | | 30+2k+5k=100 | | 3-n=11 | | x^2+4x+3=y | | 3-(n)=11 | | 3x^2+25x+45=0 | | -6x+3y-2x-5y= | | x=2x-9/20 | | 3x^2+9x-5=0 | | 2x-7=77 | | lnx+ln(x-4)=ln(5x) | | y=3(-4)+9 | | (3x-5)=5 | | 3s^2-14s+5=0 | | 6+9n=456 | | 4n+16=-2 | | 6x-2x-8= | | -1=1+2x | | y+20x+4+y=28+2 | | 3p/9+12=6 |

Equations solver categories