=(3x-2)(5x+10)

Simple and best practice solution for =(3x-2)(5x+10) 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-2)(5x+10) equation: 


Simplifying
0 = (3x + -2)(5x + 10)

Reorder the terms:
0 = (-2 + 3x)(5x + 10)

Reorder the terms:
0 = (-2 + 3x)(10 + 5x)

Multiply (-2 + 3x) * (10 + 5x)
0 = (-2(10 + 5x) + 3x * (10 + 5x))
0 = ((10 * -2 + 5x * -2) + 3x * (10 + 5x))
0 = ((-20 + -10x) + 3x * (10 + 5x))
0 = (-20 + -10x + (10 * 3x + 5x * 3x))
0 = (-20 + -10x + (30x + 15x2))

Combine like terms: -10x + 30x = 20x
0 = (-20 + 20x + 15x2)

Solving
0 = -20 + 20x + 15x2

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + -20x + -15x2 = -20 + 20x + 15x2 + 20 + -20x + -15x2

Reorder the terms:
20 + -20x + -15x2 = -20 + 20 + 20x + -20x + 15x2 + -15x2

Combine like terms: -20 + 20 = 0
20 + -20x + -15x2 = 0 + 20x + -20x + 15x2 + -15x2
20 + -20x + -15x2 = 20x + -20x + 15x2 + -15x2

Combine like terms: 20x + -20x = 0
20 + -20x + -15x2 = 0 + 15x2 + -15x2
20 + -20x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
20 + -20x + -15x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(4 + -4x + -3x2) = 0

Factor a trinomial.
5((2 + -3x)(2 + x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0.6666666667, -2}

See similar equations:

| -3(2s-4)=-2(9s+8)-3 | | Log8x=4/3 | | 3*g-7=2 | | n/-13=-40 | | 5y+11=36 | | 12*b-9=15 | | 7x+80+4x+67=180 | | 11*m-29=92 | | 10x+37=z | | 20w+27=87 | | 72+12a=24 | | 2x-1/2 | | .6g=-3 | | 13g+27=53 | | 23=6*y-43 | | -7h+30=79 | | P=a+b-7 | | 59-83=17-4x | | 72-12q=24 | | 3*x-20=28 | | x/59 | | 5(w+6)-7w=32 | | 5*m+11=61 | | p-8.7=-4.9 | | 12=5x+28 | | 3n(n-2)+2=0 | | 6y+4=8y-.5 | | 9*b-4=32 | | 15y+8=53 | | N-36=74 | | 13/999.52 | | 2x-10=6x+54 |

Equations solver categories