2x^2+20x=7x+7

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


Simplifying
2x2 + 20x = 7x + 7

Reorder the terms:
20x + 2x2 = 7x + 7

Reorder the terms:
20x + 2x2 = 7 + 7x

Solving
20x + 2x2 = 7 + 7x

Solving for variable 'x'.

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

Combine like terms: 20x + -7x = 13x
-7 + 13x + 2x2 = 7 + 7x + -7 + -7x

Reorder the terms:
-7 + 13x + 2x2 = 7 + -7 + 7x + -7x

Combine like terms: 7 + -7 = 0
-7 + 13x + 2x2 = 0 + 7x + -7x
-7 + 13x + 2x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + 13x + 2x2 = 0

Factor a trinomial.
(-7 + -1x)(1 + -2x) = 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 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-7, 0.5}

See similar equations:

| x*x=5y | | A^2+12a=0 | | 3(x-9)=-39 | | (3z^10)(-6z^6)(z^3)= | | 7(8+x)-10x+4= | | 10c^2-13c+4=0 | | 30=(x-3)(x-2)(x) | | 8f=122 | | a+11=2 | | 3x-6y+9x+4= | | 7(2w+8)=w-1 | | 3(x-4)-4(4x-9)-7x= | | 10x-191=2x-7 | | 4x^2-24x+36= | | y=-16x^2+32x+5 | | 2a^2-a+6=0 | | -21=-7(1-8p)+7(3p-2) | | 7b^2-35b-42=0 | | 4x+x-12= | | 66-4x=23x+15 | | 5-9x=70-44x | | -6y^2+19y+36=0 | | z-45.8=9.3 | | x/3-8=14 | | n-13=42 | | 7-5a=3m+4 | | -3x-10=11 | | 175-2x=34x+23 | | 7x+5+12x-10= | | 2+3(5-4x)=17+4(4x+1) | | -6y^2+197+36=0 | | x+4/5=3/8 |

Equations solver categories