(3x+7)(7x+10)=0

Simple and best practice solution for (3x+7)(7x+10)=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 (3x+7)(7x+10)=0 equation: 


Simplifying
(3x + 7)(7x + 10) = 0

Reorder the terms:
(7 + 3x)(7x + 10) = 0

Reorder the terms:
(7 + 3x)(10 + 7x) = 0

Multiply (7 + 3x) * (10 + 7x)
(7(10 + 7x) + 3x * (10 + 7x)) = 0
((10 * 7 + 7x * 7) + 3x * (10 + 7x)) = 0
((70 + 49x) + 3x * (10 + 7x)) = 0
(70 + 49x + (10 * 3x + 7x * 3x)) = 0
(70 + 49x + (30x + 21x2)) = 0

Combine like terms: 49x + 30x = 79x
(70 + 79x + 21x2) = 0

Solving
70 + 79x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 3x)(10 + 7x) = 0


Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
Set the factor '(10 + 7x)' equal to zero and attempt to solve:

Simplifying
10 + 7x = 0

Solving
10 + 7x = 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 + 7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 0 + -10
7x = 0 + -10

Combine like terms: 0 + -10 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429
Solution
x = {-2.333333333, -1.428571429}

See similar equations:

| 5+3n=5n-3 | | 21x^2+30x+49x+70=0 | | 3/4x-6+1/3x-1 | | 3/4t-6+1/3t-1 | | (21x^2+30x+49x+70)/8 | | 12-3y=-4x | | 5a-20=10a+5 | | (3x+7)(7x+10)/8 | | 7x-19=0 | | (3x-2y+3)dy+(3x-2y+1)dx=0 | | 8x+12-7=13 | | y=-4/3x^3 | | (6w^3)/(w+2) | | (9+y)(4y-3)=0 | | 12(c/2)=6c | | 12(c/2)=6(c) | | 5x-10=-12 | | 13(2m+2c-4h)= | | 4(h+3)= | | 14h+36=148 | | -3.35=60/4 | | -u-4u=-100 | | -5=(8/9)*5 | | x+1/x=17/4 | | -5/2x+1/2=-18 | | 12x-16=13x-19 | | 16t^2+4t-4t-1= | | 3(x-3)(x+3)=0 | | 12g+36p+18= | | 5+4-x=2 | | 15+t=17-t | | 6(2g+6p+3)= |

Equations solver categories