x(x-19)=-12

Simple and best practice solution for x(x-19)=-12 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(x-19)=-12 equation:


Simplifying
x(x + -19) = -12

Reorder the terms:
x(-19 + x) = -12
(-19 * x + x * x) = -12
(-19x + x2) = -12

Solving
-19x + x2 = -12

Solving for variable 'x'.

Reorder the terms:
12 + -19x + x2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -19x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -19x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -19x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -19x + x2 = 0 + -12
-19x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-19x + x2 = -12

The x term is -19x.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19x + 90.25 + x2 = -12 + 90.25

Reorder the terms:
90.25 + -19x + x2 = -12 + 90.25

Combine like terms: -12 + 90.25 = 78.25
90.25 + -19x + x2 = 78.25

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = 78.25

Calculate the square root of the right side: 8.845903006

Break this problem into two subproblems by setting 
(x + -9.5) equal to 8.845903006 and -8.845903006.

Subproblem 1

x + -9.5 = 8.845903006 Simplifying x + -9.5 = 8.845903006 Reorder the terms: -9.5 + x = 8.845903006 Solving -9.5 + x = 8.845903006 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + x = 8.845903006 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + x = 8.845903006 + 9.5 x = 8.845903006 + 9.5 Combine like terms: 8.845903006 + 9.5 = 18.345903006 x = 18.345903006 Simplifying x = 18.345903006

Subproblem 2

x + -9.5 = -8.845903006 Simplifying x + -9.5 = -8.845903006 Reorder the terms: -9.5 + x = -8.845903006 Solving -9.5 + x = -8.845903006 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + x = -8.845903006 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + x = -8.845903006 + 9.5 x = -8.845903006 + 9.5 Combine like terms: -8.845903006 + 9.5 = 0.654096994 x = 0.654096994 Simplifying x = 0.654096994

Solution

The solution to the problem is based on the solutions from the subproblems. x = {18.345903006, 0.654096994}

See similar equations:

| 7e^16x=17 | | =8x^2-14x+3 | | z-17=18-11 | | 10y-1=3y+20 | | 9(7x-2)+14(7x-2)=437 | | 10a+13b=1584 | | c+9=-49 | | -7b=35+14 | | 42cm=6(x+2) | | -3+7=19 | | x^2-19x+12=0 | | 3x+y=4000 | | 4y^2+12y+8=0 | | -15y=67-22 | | 2+5n=-18 | | 2x+3x=4x+8 | | 6a=-45+9 | | 6y^2-y-5y^4=0 | | 0.31= | | (3x+1)(2x-1)= | | 9n-14=49 | | p-5-13p=11 | | x-3+3x=0 | | 90=0.5n(n-3) | | 2r-6r+8+r= | | 75-8= | | 9b^2+36b+20=0 | | T^3-3T^2+6T=0 | | X+4x=-60 | | 7.35x+22.05=44.1 | | 100x^2+60x+9=0 | | 0.32(6)+0.08x=0.16(18+x) |

Equations solver categories