(x+3)*x=24

Simple and best practice solution for (x+3)*x=24 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+3)*x=24 equation:


Simplifying
(x + 3) * x = 24

Reorder the terms:
(3 + x) * x = 24

Reorder the terms for easier multiplication:
x(3 + x) = 24
(3 * x + x * x) = 24
(3x + x2) = 24

Solving
3x + x2 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + 3x + x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '24' to each side of the equation.
-24 + 3x + 24 + x2 = 0 + 24

Reorder the terms:
-24 + 24 + 3x + x2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 3x + x2 = 0 + 24
3x + x2 = 0 + 24

Combine like terms: 0 + 24 = 24
3x + x2 = 24

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 = 24 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 24 + 2.25

Combine like terms: 24 + 2.25 = 26.25
2.25 + 3x + x2 = 26.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 26.25

Calculate the square root of the right side: 5.123475383

Break this problem into two subproblems by setting 
(x + 1.5) equal to 5.123475383 and -5.123475383.

Subproblem 1

x + 1.5 = 5.123475383 Simplifying x + 1.5 = 5.123475383 Reorder the terms: 1.5 + x = 5.123475383 Solving 1.5 + x = 5.123475383 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 = 5.123475383 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 5.123475383 + -1.5 x = 5.123475383 + -1.5 Combine like terms: 5.123475383 + -1.5 = 3.623475383 x = 3.623475383 Simplifying x = 3.623475383

Subproblem 2

x + 1.5 = -5.123475383 Simplifying x + 1.5 = -5.123475383 Reorder the terms: 1.5 + x = -5.123475383 Solving 1.5 + x = -5.123475383 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 = -5.123475383 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -5.123475383 + -1.5 x = -5.123475383 + -1.5 Combine like terms: -5.123475383 + -1.5 = -6.623475383 x = -6.623475383 Simplifying x = -6.623475383

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.623475383, -6.623475383}

See similar equations:

| x-4=3+9 | | -4(x+4y)+5(3x+y)= | | 15x=1.5x | | 16=18(x-1) | | 4+.5a=12 | | b=75+(25+7)w | | 8*7-7= | | 5.8+(6.9-3.6)11.8= | | 120.5x=6300 | | 3x-ax=B | | 3xy+5x+6+3y+x+4= | | 19.95x+0.05=22.95x+0.02 | | -5(4x-4)+8x=2x-7 | | 5x+42=2(4x+12) | | x^2+y^2-4x+6z-y+14=0 | | 5.8+(6.9-3.6)= | | 45x+15y+60z= | | -4=3x-19 | | 5(x+2)-3(x-4)=24 | | 24z-23z=-19+13 | | f(6)=6x+9 | | -(8-n)=-2 | | 7+5l=4+6l | | 3(4y+8)=-12 | | 65d+8=268 | | 4-7*(25)= | | -0.008x^2+0.939x-0.975=0 | | 3z+2z=15 | | 8=-10x+2y | | QDx=50-2Px | | x=-2y+15 | | 5=-5x-4 |

Equations solver categories