80=(x)(x-3)

Simple and best practice solution for 80=(x)(x-3) 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 80=(x)(x-3) equation:


Simplifying
80 = (x)(x + -3)

Reorder the terms:
80 = x(-3 + x)
80 = (-3 * x + x * x)
80 = (-3x + x2)

Solving
80 = -3x + x2

Solving for variable 'x'.

Reorder the terms:
80 + 3x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
80 + 3x + -1x2 = 0 + x2 + -1x2
80 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
80 + 3x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-80 + -3x + x2 = 0

Move the constant term to the right:

Add '80' to each side of the equation.
-80 + -3x + 80 + x2 = 0 + 80

Reorder the terms:
-80 + 80 + -3x + x2 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -3x + x2 = 0 + 80
-3x + x2 = 0 + 80

Combine like terms: 0 + 80 = 80
-3x + x2 = 80

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = 80 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 80 + 2.25

Combine like terms: 80 + 2.25 = 82.25
2.25 + -3x + x2 = 82.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 82.25

Calculate the square root of the right side: 9.069178574

Break this problem into two subproblems by setting 
(x + -1.5) equal to 9.069178574 and -9.069178574.

Subproblem 1

x + -1.5 = 9.069178574 Simplifying x + -1.5 = 9.069178574 Reorder the terms: -1.5 + x = 9.069178574 Solving -1.5 + x = 9.069178574 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 9.069178574 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 9.069178574 + 1.5 x = 9.069178574 + 1.5 Combine like terms: 9.069178574 + 1.5 = 10.569178574 x = 10.569178574 Simplifying x = 10.569178574

Subproblem 2

x + -1.5 = -9.069178574 Simplifying x + -1.5 = -9.069178574 Reorder the terms: -1.5 + x = -9.069178574 Solving -1.5 + x = -9.069178574 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -9.069178574 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -9.069178574 + 1.5 x = -9.069178574 + 1.5 Combine like terms: -9.069178574 + 1.5 = -7.569178574 x = -7.569178574 Simplifying x = -7.569178574

Solution

The solution to the problem is based on the solutions from the subproblems. x = {10.569178574, -7.569178574}

See similar equations:

| x^2+14x+72-172+149=0 | | 3(x+8)=2(10+3/2x) | | 9(d-5)=3(d-3)+6d | | 6ax+12=-3-t | | 5x^3+24x^2+27x=0 | | 6xa+12=-3-t | | -7=-5v-2v | | 5(3)+65= | | x-2(3x+1)=-5 | | 4x^3-15x^2-18x+10=0 | | (3x+1)+(2x-1)+(x+4)=180 | | 0.4+3.9=5.78 | | 6(3+5x)-4=104 | | 6m+5-3m=7(m+1) | | a-2-6=-8 | | (x+2)+3=9 | | 2-y=5wz+14 | | 19/20+1/5d=4/5+7/20d | | 8x+4(2x+1)=15-(3x+2) | | t/5-3=8 | | 4n^2+9n-28=0 | | p-4=-9+4 | | 24m^3-198m^2+324m=0 | | y=3x+65 | | 2/3x+56=90 | | 9k^3-28k^2+3k=0 | | 8b^2-19b-15=0 | | 247=(x)(x+6) | | 0=1-2b-1 | | 24n^3+126n^2+30n=0 | | -x/6=-9 | | 1/3-1/6+4/18 |

Equations solver categories