x(x-3)=-7

Simple and best practice solution for x(x-3)=-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 x(x-3)=-7 equation:


Simplifying
x(x + -3) = -7

Reorder the terms:
x(-3 + x) = -7
(-3 * x + x * x) = -7
(-3x + x2) = -7

Solving
-3x + x2 = -7

Solving for variable 'x'.

Reorder the terms:
7 + -3x + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -3x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -3x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x + x2 = 0 + -7
-3x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-3x + x2 = -7

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 = -7 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -7 + 2.25

Combine like terms: -7 + 2.25 = -4.75
2.25 + -3x + x2 = -4.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3x+4[2x-(5x+9)]= | | 2(5r+20)=8(r+5)+2r | | 4sin^2(x)=5-4cosx | | 6(3x-2)-14x=-12 | | 4sin^2x=5-4cosx | | s^2+5s=36 | | 7y-7=14y+7 | | 3z+4z=6z-6 | | 6x-(3x-8)=35 | | (1-w)(3w-7)= | | 2t-4=22 | | x^2+3x-2=4x^2-5x-1 | | 6x^2+y^2-5xy-7x+3y+2=0 | | 9bc+8bc-7bc= | | 0=2x^2-1 | | 4(4k+1)-8(k-2)=3(2k+1)-2 | | 5h+h+5= | | 5-2x=0 | | 5(y-6)=18-2y | | 5+6-3-4=x | | 7x-(3x-4)=16 | | 17=3h-5h+11 | | p^2-6p-40= | | 4(5x-6)=13x+8 | | -3a+7c+26a+9b+b-c= | | 5x-3=18-x | | 71+44b-11= | | 20-5+4-10=x+2 | | -6y+8y-2y= | | x-5=4+5 | | -8-5=x+2 | | 4x^2+x-.25=0 |

Equations solver categories