x(5x+8)=2x^2-12x+63

Simple and best practice solution for x(5x+8)=2x^2-12x+63 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(5x+8)=2x^2-12x+63 equation: 


Simplifying
x(5x + 8) = 2x2 + -12x + 63

Reorder the terms:
x(8 + 5x) = 2x2 + -12x + 63
(8 * x + 5x * x) = 2x2 + -12x + 63
(8x + 5x2) = 2x2 + -12x + 63

Reorder the terms:
8x + 5x2 = 63 + -12x + 2x2

Solving
8x + 5x2 = 63 + -12x + 2x2

Solving for variable 'x'.

Reorder the terms:
-63 + 8x + 12x + 5x2 + -2x2 = 63 + -12x + 2x2 + -63 + 12x + -2x2

Combine like terms: 8x + 12x = 20x
-63 + 20x + 5x2 + -2x2 = 63 + -12x + 2x2 + -63 + 12x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-63 + 20x + 3x2 = 63 + -12x + 2x2 + -63 + 12x + -2x2

Reorder the terms:
-63 + 20x + 3x2 = 63 + -63 + -12x + 12x + 2x2 + -2x2

Combine like terms: 63 + -63 = 0
-63 + 20x + 3x2 = 0 + -12x + 12x + 2x2 + -2x2
-63 + 20x + 3x2 = -12x + 12x + 2x2 + -2x2

Combine like terms: -12x + 12x = 0
-63 + 20x + 3x2 = 0 + 2x2 + -2x2
-63 + 20x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-63 + 20x + 3x2 = 0

Factor a trinomial.
(-9 + -1x)(7 + -3x) = 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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-9, 2.333333333}

See similar equations:

| 5y^2-7x+2=0 | | 7p-5p= | | P^2+4p-9=0 | | 4c+2c= | | 8x+4=3x-2+1x | | 6x^2-294= | | 2x-1+-2x+19+x+5=180 | | 2x-3+3x-7+9-x=180 | | p=70-2q+6 | | y^4-8y^3+44y^2-13y=0 | | x^4-x^3-8x+8=0 | | P=70-2Q | | 3x-30+7x=180 | | Xx+3x+2=0 | | 2(y+5)=7x | | 5+7= | | 3(x+2)=2y | | 2x^2+5x=79 | | 2x^3+3x=35 | | 300+10(x+6)+x=40[3+x+(x+6)] | | 3x+3=3x-5 | | m^2+6=0 | | 8x^2+7=0 | | 11k^2-4k+4=0 | | 2x^2-10x-72=0 | | 12a^2+3=0 | | 12X+5Y+6=0 | | 4x^2=77 | | x^5+4x^4-8x+6=0 | | (2+4)*5+10-18+7+5*(7+1*3)+8=x | | (2+4)*5+10-18+7+5*(7+1*3)+8=0 | | 6+3x=20+x |

Equations solver categories