x(7x+12)=2x^2-20x+64

Simple and best practice solution for x(7x+12)=2x^2-20x+64 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(7x+12)=2x^2-20x+64 equation: 


Simplifying
x(7x + 12) = 2x2 + -20x + 64

Reorder the terms:
x(12 + 7x) = 2x2 + -20x + 64
(12 * x + 7x * x) = 2x2 + -20x + 64
(12x + 7x2) = 2x2 + -20x + 64

Reorder the terms:
12x + 7x2 = 64 + -20x + 2x2

Solving
12x + 7x2 = 64 + -20x + 2x2

Solving for variable 'x'.

Reorder the terms:
-64 + 12x + 20x + 7x2 + -2x2 = 64 + -20x + 2x2 + -64 + 20x + -2x2

Combine like terms: 12x + 20x = 32x
-64 + 32x + 7x2 + -2x2 = 64 + -20x + 2x2 + -64 + 20x + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
-64 + 32x + 5x2 = 64 + -20x + 2x2 + -64 + 20x + -2x2

Reorder the terms:
-64 + 32x + 5x2 = 64 + -64 + -20x + 20x + 2x2 + -2x2

Combine like terms: 64 + -64 = 0
-64 + 32x + 5x2 = 0 + -20x + 20x + 2x2 + -2x2
-64 + 32x + 5x2 = -20x + 20x + 2x2 + -2x2

Combine like terms: -20x + 20x = 0
-64 + 32x + 5x2 = 0 + 2x2 + -2x2
-64 + 32x + 5x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-64 + 32x + 5x2 = 0

Factor a trinomial.
(-8 + -1x)(8 + -5x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 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 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-8, 1.6}

See similar equations:

| 5y+40=2x | | sin(x^2-4x)=0 | | 10.7x+36.81=-9.3x+35.11 | | 2x^2/4.5-x | | -12-6x=-4 | | 1/3y-1=1/2 | | 4-1/4x=5/4 | | 8k+5=-7 | | -5(6x-3)+3=-30x+18 | | 7a+17=46 | | 6(3z-1)-4(z+3)=5(z+1) | | 7a-17=56 | | f(x)=-5x^2+3 | | -6-24x-6=-18x-6+2 | | cosx=mx | | -6(t-6)-(t+6)=3 | | 5-(1/x^2)=1 | | 5/8•-1/4=1 | | (1200-4x)=(-200+2x) | | -2y-14=4y+22 | | 5+6(x-6)=10-3(x-7) | | 1/2(6x-22)=16-6x | | -2(x-6)-24=12 | | 20x=10x+50 | | 21x-35=4x+11 | | 3+3m-1=9m+3-7m | | 0.49-0.0592/6*log(x/1,20)=0 | | 2(x-3)=5(x+4)-8 | | Log(x/1.2)=0 | | f(x)=12+72x+3x^2-x^3 | | 7(t-4)+3t=5(2t+4)-9 | | 9x-8+3x-4+1=5x+10 |

Equations solver categories