x^2-3x+22=7x-2

Simple and best practice solution for x^2-3x+22=7x-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^2-3x+22=7x-2 equation: 


Simplifying
x2 + -3x + 22 = 7x + -2

Reorder the terms:
22 + -3x + x2 = 7x + -2

Reorder the terms:
22 + -3x + x2 = -2 + 7x

Solving
22 + -3x + x2 = -2 + 7x

Solving for variable 'x'.

Reorder the terms:
22 + 2 + -3x + -7x + x2 = -2 + 7x + 2 + -7x

Combine like terms: 22 + 2 = 24
24 + -3x + -7x + x2 = -2 + 7x + 2 + -7x

Combine like terms: -3x + -7x = -10x
24 + -10x + x2 = -2 + 7x + 2 + -7x

Reorder the terms:
24 + -10x + x2 = -2 + 2 + 7x + -7x

Combine like terms: -2 + 2 = 0
24 + -10x + x2 = 0 + 7x + -7x
24 + -10x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -10x + x2 = 0

Factor a trinomial.
(4 + -1x)(6 + -1x) = 0


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {4, 6}

See similar equations:

| 8(x+7)-4=-8(x-1) | | x^2-x+8=10 | | 14-8x=45-15x | | (6y-3u-4)(6y+u)=0 | | graphy=3x-1 | | 2g+4=3g | | 1.4q-3.3-4.6q=-4.2q-3.8 | | -72r=-216 | | -32r=-80 | | 2(4-3x)=-4(2x+3) | | -4(10-x)=44 | | (9+2x)2=4+3x | | 49r^2-64f^2= | | 16a^2+56a+49= | | 4x+44=7x+5 | | r^2-22+21=0 | | 4x+45=7x+5 | | 3x+28=6x+7 | | X-(2+(x-(3x-1)))=2-x | | 12+4x=x | | (2x-3)-(x+4-2x)=5-(x+2) | | 4-4=-20 | | -20=4-4 | | 10-5x=12+3x | | 2r+8= | | X^4=96 | | 2(x+9)=-3+4 | | 5x^2y-6xy+2=0 | | .01x=5 | | 1.4q-3.3-4.6q=4.2q-3.8 | | 3p+2=6+2p | | 8x+2+5x+8=12x+4 |

Equations solver categories