7x^2+20x-15=9-2x

Simple and best practice solution for 7x^2+20x-15=9-2x 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+20x-15=9-2x equation: 


Simplifying
7x2 + 20x + -15 = 9 + -2x

Reorder the terms:
-15 + 20x + 7x2 = 9 + -2x

Solving
-15 + 20x + 7x2 = 9 + -2x

Solving for variable 'x'.

Reorder the terms:
-15 + -9 + 20x + 2x + 7x2 = 9 + -2x + -9 + 2x

Combine like terms: -15 + -9 = -24
-24 + 20x + 2x + 7x2 = 9 + -2x + -9 + 2x

Combine like terms: 20x + 2x = 22x
-24 + 22x + 7x2 = 9 + -2x + -9 + 2x

Reorder the terms:
-24 + 22x + 7x2 = 9 + -9 + -2x + 2x

Combine like terms: 9 + -9 = 0
-24 + 22x + 7x2 = 0 + -2x + 2x
-24 + 22x + 7x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 22x + 7x2 = 0

Factor a trinomial.
(-4 + -1x)(6 + -7x) = 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 '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

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

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

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-4, 0.8571428571}

See similar equations:

| 6+2x=4-2x | | 45+10x=4x+9 | | 12+3x=x+42 | | 8+3h=2(h+3) | | 2a^3(3a^2b+ab^2)= | | 6m^2-90m+324=0 | | X+2y=-24 | | 12+4x=8-3x | | 355=2x+3.5y | | 7x-5=11-x | | 2d-6=d-4 | | 14x+11=151 | | x^2+10x+80=0 | | 38g=-104.12 | | 4(x-2)=3x-(x-2) | | 355=2x+3.5x | | 4(2x+1)-3(1-4x)=-19 | | 940x+80=1824-590x | | 3x^2-14-x=0 | | 4(x-2)-2x=3x-11(x-2) | | ln(4x)=21 | | -13+22=k | | x^2+x=483 | | 23-7(x+3)-5x=10 | | 6x-38=-38 | | (4x+1)=53 | | 7k(2+3)=-140 | | -13-22=k | | 4+16z-2=9z+72-3z | | 4(4)-(-3)=10 | | .6(y+1.5)=2.1(y-3) | | 4(7)-(6)=10 |

Equations solver categories