(x+5)-3((x+5)(x+5))=0

Simple and best practice solution for (x+5)-3((x+5)(x+5))=0 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+5)-3((x+5)(x+5))=0 equation: 


Simplifying
(x + 5) + -3((x + 5)(x + 5)) = 0

Reorder the terms:
(5 + x) + -3((x + 5)(x + 5)) = 0

Remove parenthesis around (5 + x)
5 + x + -3((x + 5)(x + 5)) = 0

Reorder the terms:
5 + x + -3((5 + x)(x + 5)) = 0

Reorder the terms:
5 + x + -3((5 + x)(5 + x)) = 0

Multiply (5 + x) * (5 + x)
5 + x + -3((5(5 + x) + x(5 + x))) = 0
5 + x + -3(((5 * 5 + x * 5) + x(5 + x))) = 0
5 + x + -3(((25 + 5x) + x(5 + x))) = 0
5 + x + -3((25 + 5x + (5 * x + x * x))) = 0
5 + x + -3((25 + 5x + (5x + x2))) = 0

Combine like terms: 5x + 5x = 10x
5 + x + -3((25 + 10x + x2)) = 0
5 + x + (25 * -3 + 10x * -3 + x2 * -3) = 0
5 + x + (-75 + -30x + -3x2) = 0

Reorder the terms:
5 + -75 + x + -30x + -3x2 = 0

Combine like terms: 5 + -75 = -70
-70 + x + -30x + -3x2 = 0

Combine like terms: x + -30x = -29x
-70 + -29x + -3x2 = 0

Solving
-70 + -29x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(70 + 29x + 3x2) = 0

Factor a trinomial.
-1((5 + x)(14 + 3x)) = 0

Ignore the factor -1.

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

Simplifying
5 + x = 0

Solving
5 + x = 0

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

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

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

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

Simplifying
x = -5

Subproblem 2
Set the factor '(14 + 3x)' equal to zero and attempt to solve:

Simplifying
14 + 3x = 0

Solving
14 + 3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 0 + -14
3x = 0 + -14

Combine like terms: 0 + -14 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667
Solution
x = {-5, -4.666666667}

See similar equations:

| 9x+15=-21 | | 6y-5(y-1)+1=6 | | 6(x+8)-8x=32 | | x+6=5x-10-2x | | 4(8-3k)=3k+2 | | 6y-5(y-5)+1=6 | | 3(x^2-5)=9 | | 4x^2+5y^2=20 | | -3(x-5)=-5(3-4x) | | 2w+16=40 | | -5x^2+g=2x^2-1 | | 2(6a-3)-11a=10-5 | | 9.8x^2+49x=0 | | -(5x-10)=8x-3 | | 7x+5-6x=8+1 | | (4x+7)= | | 9.8x^2+49x=y | | 16a^5b^3+8a^3b^3-4a^4b^3= | | 170/2= | | .2(120000-x)=.05x+10500 | | 8x+5forx=3 | | -10x=-(20+4x)-4 | | 14a=-9+13a | | 32-6b-5b+7=7.25 | | .05(120000-x)=.2x+10500 | | 5.1+x=3.9 | | -4+(2x-3)=9x | | cos(t)-sin(2t)=0 | | 41+x=5X(19-x) | | .04x+x=1600 | | -2(2x+7)=9x | | 5/n=30/54 |

Equations solver categories