x^2+2x-2=-4x+5

Simple and best practice solution for x^2+2x-2=-4x+5 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+2x-2=-4x+5 equation: 


Simplifying
x2 + 2x + -2 = -4x + 5

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

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

Solving
-2 + 2x + x2 = 5 + -4x

Solving for variable 'x'.

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

Combine like terms: -2 + -5 = -7
-7 + 2x + 4x + x2 = 5 + -4x + -5 + 4x

Combine like terms: 2x + 4x = 6x
-7 + 6x + x2 = 5 + -4x + -5 + 4x

Reorder the terms:
-7 + 6x + x2 = 5 + -5 + -4x + 4x

Combine like terms: 5 + -5 = 0
-7 + 6x + x2 = 0 + -4x + 4x
-7 + 6x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-7 + 6x + x2 = 0

Factor a trinomial.
(-7 + -1x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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 = {-7, 1}

See similar equations:

| -1.75g-8.75=3g+7.5 | | 4+4b-(2b+3)-(5b+9)= | | z-5z+7z= | | 6(x-5)-4x=3(4x-5) | | [3x+4]+7=2 | | 2(h+-2)-2=10 | | 5x^2-50x-125=0 | | x+(10-45)=84-74 | | 8=2(k+2) | | -9.1x=63.7 | | 6+6x=-4(6-3x) | | 3X^2+8X+XY-4Y=11 | | 1-4x=-7+28 | | (3x^2)+(8x)+(xy)-(4y)=11 | | (3x+8)+(2x+3)=180 | | 6(2x-3)=8x-2 | | 4(x-6)+6=6(x+2)-4 | | 0=-2x^2+4x+4 | | -c+3.4=6.21 | | -2.1m=8.4 | | 9-2x=7+2x-6 | | 10=2(y-4)+4 | | 56=c+24 | | -8(4b+3)+(33b-7)=0 | | 7x-9=3(x+5) | | 1.3x-2.39=5.67x+4.74 | | b+5=-10 | | .75a-.666=.583 | | 3(4-5k)-5(7-2k)+6=3k+7 | | .3333333334z-4=-.3333333334z+18 | | z^2+9z-9=(2z+3)(z-3) | | 2v^3-3v^2-14v+21=0 |

Equations solver categories