-3x(x-8)+10=-5

Simple and best practice solution for -3x(x-8)+10=-5 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 -3x(x-8)+10=-5 equation: 


Simplifying
-3x(x + -8) + 10 = -5

Reorder the terms:
-3x(-8 + x) + 10 = -5
(-8 * -3x + x * -3x) + 10 = -5
(24x + -3x2) + 10 = -5

Reorder the terms:
10 + 24x + -3x2 = -5

Solving
10 + 24x + -3x2 = -5

Solving for variable 'x'.

Reorder the terms:
10 + 5 + 24x + -3x2 = -5 + 5

Combine like terms: 10 + 5 = 15
15 + 24x + -3x2 = -5 + 5

Combine like terms: -5 + 5 = 0
15 + 24x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + 8x + -1x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + 8x + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + 8x + -1x2 = 0

Solving
5 + 8x + -1x2 = 0

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

Divide each side by '-1'.
-5 + -8x + x2 = 0

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + -8x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + -8x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8x + x2 = 0 + 5
-8x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
-8x + x2 = 5

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 5 + 16

Reorder the terms:
16 + -8x + x2 = 5 + 16

Combine like terms: 5 + 16 = 21
16 + -8x + x2 = 21

Factor a perfect square on the left side:
(x + -4)(x + -4) = 21

Calculate the square root of the right side: 4.582575695

Break this problem into two subproblems by setting 
(x + -4) equal to 4.582575695 and -4.582575695.


Subproblem 1
x + -4 = 4.582575695

Simplifying
x + -4 = 4.582575695

Reorder the terms:
-4 + x = 4.582575695

Solving
-4 + x = 4.582575695

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + x = 4.582575695 + 4

Combine like terms: -4 + 4 = 0
0 + x = 4.582575695 + 4
x = 4.582575695 + 4

Combine like terms: 4.582575695 + 4 = 8.582575695
x = 8.582575695

Simplifying
x = 8.582575695


Subproblem 2
x + -4 = -4.582575695

Simplifying
x + -4 = -4.582575695

Reorder the terms:
-4 + x = -4.582575695

Solving
-4 + x = -4.582575695

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + x = -4.582575695 + 4

Combine like terms: -4 + 4 = 0
0 + x = -4.582575695 + 4
x = -4.582575695 + 4

Combine like terms: -4.582575695 + 4 = -0.582575695
x = -0.582575695

Simplifying
x = -0.582575695


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.582575695, -0.582575695}
Solution
x = {8.582575695, -0.582575695}

See similar equations:

| (12x+23)(16x-1)= | | 2x+5y+12=0 | | Z-9.7=-2.3 | | 49ab+28= | | 2y-5/3=4 | | 3.5s-2s=15 | | 5p+7=8 | | 8y-3=2(y-5) | | I+like+peanuts=2I-43+5l | | 8.1=0.8 | | I+like+peanuts=I+dont+like+peanuts | | x^2+28+10x-4=360 | | 6(X-8)-4x=5(X-1)-1 | | .5(8x+6)=25 | | 0=-16t^2+144t+16 | | 6x(X-8)-4x=5(X-1)-1 | | (6x-4)=10x | | -6x^2+23x-28=0 | | 9x+4x-6x=24+4 | | (z-12)/3=4 | | 2(2x+3)=4(x+1.4)+0.1 | | Y=(0.6)x | | (14x^5/21x^3)^0 | | 3(2x+3)=36 | | (14x^5/21x^3)0 | | H=50-t/5 | | n/5=32/80 | | 3(2x+3)=30 | | (4x^3)/(.25-x)= | | 3x-9+6x=-18 | | 7x-36=-100 | | -6x^3+23x^2-28x+11=0 |

Equations solver categories