7x^2+2x-12=60-53x

Simple and best practice solution for 7x^2+2x-12=60-53x 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 7x^2+2x-12=60-53x equation: 


Simplifying
7x2 + 2x + -12 = 60 + -53x

Reorder the terms:
-12 + 2x + 7x2 = 60 + -53x

Solving
-12 + 2x + 7x2 = 60 + -53x

Solving for variable 'x'.

Reorder the terms:
-12 + -60 + 2x + 53x + 7x2 = 60 + -53x + -60 + 53x

Combine like terms: -12 + -60 = -72
-72 + 2x + 53x + 7x2 = 60 + -53x + -60 + 53x

Combine like terms: 2x + 53x = 55x
-72 + 55x + 7x2 = 60 + -53x + -60 + 53x

Reorder the terms:
-72 + 55x + 7x2 = 60 + -60 + -53x + 53x

Combine like terms: 60 + -60 = 0
-72 + 55x + 7x2 = 0 + -53x + 53x
-72 + 55x + 7x2 = -53x + 53x

Combine like terms: -53x + 53x = 0
-72 + 55x + 7x2 = 0

Factor a trinomial.
(-9 + -1x)(8 + -7x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-9, 1.142857143}

See similar equations:

| 7.33=2*3.14r | | -3(x+3)=-3 | | q^2+6q+9=0 | | r+22=16 | | 0.3(x+3)=-3 | | -23+-11= | | x^2-29/2x-10 | | -(8-x)=-12 | | 3m+8=5m-2 | | (x^2-4x-5)/x-5 | | 2x^2+3x-125=0 | | log(x)+log(3x-13)=log(10) | | 11-3r-u= | | 3y=15*7x | | 1x-3+4y-2=9x | | 5b+3=9b-1 | | 2(4x+5)=46 | | 9x^2/27x | | .25x-4=-1 | | 3x^2+11=71 | | (x-4)(x-5/6) | | 8x-45=23 | | x+6/6-x=19/17 | | 5(t-5)+5t=5(2t+3)-10 | | 3(-4)+4(-3)= | | (5u-6)(5-u)= | | -3=x+6 | | 2(-3)-5(-4)= | | 4(w+1)(-w-2)= | | 6x+4.50y=3288 | | -2(-5)= | | 2x+10=6y+24 |

Equations solver categories