(x+5)*(x-2)=120

Simple and best practice solution for (x+5)*(x-2)=120 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)*(x-2)=120 equation: 


Simplifying
(x + 5)(x + -2) = 120

Reorder the terms:
(5 + x)(x + -2) = 120

Reorder the terms:
(5 + x)(-2 + x) = 120

Multiply (5 + x) * (-2 + x)
(5(-2 + x) + x(-2 + x)) = 120
((-2 * 5 + x * 5) + x(-2 + x)) = 120
((-10 + 5x) + x(-2 + x)) = 120
(-10 + 5x + (-2 * x + x * x)) = 120
(-10 + 5x + (-2x + x2)) = 120

Combine like terms: 5x + -2x = 3x
(-10 + 3x + x2) = 120

Solving
-10 + 3x + x2 = 120

Solving for variable 'x'.

Reorder the terms:
-10 + -120 + 3x + x2 = 120 + -120

Combine like terms: -10 + -120 = -130
-130 + 3x + x2 = 120 + -120

Combine like terms: 120 + -120 = 0
-130 + 3x + x2 = 0

Factor a trinomial.
(-13 + -1x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-13, 10}

See similar equations:

| 8w+4=7w-7+14 | | 2/5x=9/5 | | (2x-5)=.5(30+42) | | -33+3k=7(2k+2)+8 | | (x+5)x(x-2)=120 | | -[9z-(16z+7)]=7+(6z+8) | | 0.5x+0.05(18-x)=0.10(18) | | F(x+3)=x^2+kx-21findk | | A+5+2[a+7]= | | (2x+8)(x+6)+3(x-2)=0 | | ln(15x)= | | 15y+1=6 | | 2x-x+9=36 | | 6(2t-7)=5t | | 20x^3-x^2+5x=0 | | -199=2x+3(-5x-4) | | x^3+kx-1=0 | | 9v^3=-45v^2 | | 5X+40=8x-5 | | 12n+4-1=12n-24+28 | | 9-2(2x+1)=6(1-x) | | 2.2+1x=26 | | w^2+26w=0 | | 42=.5(2x-5+30) | | 4(s+2)+2(x+4)=8x+5 | | 42=.5(2x-5)+30 | | 40000-.2=x | | m-m-m-m-m=21 | | 40000-.2=xz | | 2(x+4)+6(2x+8)=10 | | 2[d-(2d+7)+2]=2(d+5) | | 42=.5(2x-5) |

Equations solver categories