x^2+13x-14=2x-2

Simple and best practice solution for x^2+13x-14=2x-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+13x-14=2x-2 equation: 


Simplifying
x2 + 13x + -14 = 2x + -2

Reorder the terms:
-14 + 13x + x2 = 2x + -2

Reorder the terms:
-14 + 13x + x2 = -2 + 2x

Solving
-14 + 13x + x2 = -2 + 2x

Solving for variable 'x'.

Reorder the terms:
-14 + 2 + 13x + -2x + x2 = -2 + 2x + 2 + -2x

Combine like terms: -14 + 2 = -12
-12 + 13x + -2x + x2 = -2 + 2x + 2 + -2x

Combine like terms: 13x + -2x = 11x
-12 + 11x + x2 = -2 + 2x + 2 + -2x

Reorder the terms:
-12 + 11x + x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
-12 + 11x + x2 = 0 + 2x + -2x
-12 + 11x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 11x + x2 = 0

Factor a trinomial.
(-12 + -1x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
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
Solution
x = {-12, 1}

See similar equations:

| (2z-m)=23 | | (-x^3+3x^2+3)+(3x^2+x+4)= | | x^2-4x-7=5 | | 3x+5(x+5)=73 | | x+20+x-6+2x+10=180 | | 6x=x^2+7 | | 2x=8-7y | | -6-10=4x+14-3x | | C(x)=20x+4x | | 0.3X^2-4x+(15-p)=0 | | -1.2=-0.7u+0.3u | | 3x*4=36*12 | | c+cdb+dbc=180 | | 12000.00(x+7.00)=408000 | | x^3+7=-3 | | 12000.00(x+7.00)=144000 | | 9x-2(3x+30)=12 | | ln(x-3)+ln(x-1)=ln(8) | | 2x-88=x/6 | | -20=2(u-8)-6u | | x^2=68 | | .10(y-1)+0.02y=0.04y-.7 | | 3x+2(6x+11)=142 | | 3x^2-2y^2=12 | | 24x-4y=116 | | x-12=-156 | | 12+23x-16=73 | | 3(x+4)-6=6 | | 4x+2(5x-17)=50 | | x-21=5x+6-7x | | 9+9r-3=7r+10-2r | | 2-3(3-t)=7+t |

Equations solver categories