x^2-14x-32=-9x+4

Simple and best practice solution for x^2-14x-32=-9x+4 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^2-14x-32=-9x+4 equation: 


Simplifying
x2 + -14x + -32 = -9x + 4

Reorder the terms:
-32 + -14x + x2 = -9x + 4

Reorder the terms:
-32 + -14x + x2 = 4 + -9x

Solving
-32 + -14x + x2 = 4 + -9x

Solving for variable 'x'.

Reorder the terms:
-32 + -4 + -14x + 9x + x2 = 4 + -9x + -4 + 9x

Combine like terms: -32 + -4 = -36
-36 + -14x + 9x + x2 = 4 + -9x + -4 + 9x

Combine like terms: -14x + 9x = -5x
-36 + -5x + x2 = 4 + -9x + -4 + 9x

Reorder the terms:
-36 + -5x + x2 = 4 + -4 + -9x + 9x

Combine like terms: 4 + -4 = 0
-36 + -5x + x2 = 0 + -9x + 9x
-36 + -5x + x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-36 + -5x + x2 = 0

Factor a trinomial.
(-4 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-4, 9}

See similar equations:

| x(x+3)=84 | | x(x+5)=x^2(x+5)-10x(x+5)-3 | | 5x+1=5(x+5) | | z^2-32-270=0 | | -9n+19=-8n-18 | | x(x+5)=x^2(x+5)-10(x+5)-3 | | 4(x+6)-2=24-5x-2+9x | | 9.8x+74.93=-10.2x+73.81 | | 7.5x-3.2=26.8 | | -3k-8(-5k-6)= | | x+85=140 | | x(x+5)=x^2(x+5)10(x+5)-3 | | .2(x+2)=24 | | 2(6y-8)-(9y+7)= | | X^3+9X+14=0 | | 64b^2-48b+9= | | 5(5c-1)-5=23c+4 | | 2x^2+3xy-2y^2= | | 2(3g-9)= | | 3=2(-3)+b | | -11+100+10p=4-55-10p | | ln*(x+5)+ln*x=ln*14 | | 6s^2+5sp-6p^2= | | 3x+-5=7 | | 3(4x+2)-5= | | (x+10)(5x-4)=72 | | 4(-2+8c)= | | x^2-5y^2=100 | | 6s^2+17sp-14p^2= | | 3-3sinx-2cos^2x=0 | | 3m^2+17m+10= | | 5g+3=4g+16 |

Equations solver categories