x^2+6x-5=4x+3

Simple and best practice solution for x^2+6x-5=4x+3 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+6x-5=4x+3 equation: 


Simplifying
x2 + 6x + -5 = 4x + 3

Reorder the terms:
-5 + 6x + x2 = 4x + 3

Reorder the terms:
-5 + 6x + x2 = 3 + 4x

Solving
-5 + 6x + x2 = 3 + 4x

Solving for variable 'x'.

Reorder the terms:
-5 + -3 + 6x + -4x + x2 = 3 + 4x + -3 + -4x

Combine like terms: -5 + -3 = -8
-8 + 6x + -4x + x2 = 3 + 4x + -3 + -4x

Combine like terms: 6x + -4x = 2x
-8 + 2x + x2 = 3 + 4x + -3 + -4x

Reorder the terms:
-8 + 2x + x2 = 3 + -3 + 4x + -4x

Combine like terms: 3 + -3 = 0
-8 + 2x + x2 = 0 + 4x + -4x
-8 + 2x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 2x + x2 = 0

Factor a trinomial.
(-4 + -1x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-4, 2}

See similar equations:

| 16x-8=10x+10 | | e^2x+1=28 | | p=6n-(n-1) | | .3(X+60)+1.5x=99 | | p=6n | | 15.25+-.25b+15.25+-.25b+7+2(15.25+.25b)+b=68 | | y^2(4y+7n^2+2)-3y^2(-y+8)= | | 43-4x=35-3x | | 3-y=-10 | | 9x+8y=19 | | 67+x=-6 | | 2a+2a+a+a=h | | x^2-44x+968=0 | | 67-x=-6 | | -3(6p+3)-2(1-17p)=3(2+5p) | | 8y+11=-29 | | 13x-(6x+1)=20 | | 2460=40x+2100 | | P=20+2W | | 2a+2a+a+a=R | | 2x+9-3x=64 | | 69+-x=-4 | | (2x+1)(3x-2)=(x-5)(2x+3) | | 3(x+1)=10+x | | 169-x=73 | | 12(x+4)=3(x+4)+36 | | C(20)=40(20)+1500 | | -5(2t+4)=-50 | | 4x+20x-44=0 | | 4(f-5)=-28 | | 3x^2+4(2y+x^2)= | | -3(1-2/3v)=-9 |

Equations solver categories