(3x+5)(10x+4)=

Simple and best practice solution for (3x+5)(10x+4)= 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+5)(10x+4)= equation: 


Simplifying
(3x + 5)(10x + 4) = 0

Reorder the terms:
(5 + 3x)(10x + 4) = 0

Reorder the terms:
(5 + 3x)(4 + 10x) = 0

Multiply (5 + 3x) * (4 + 10x)
(5(4 + 10x) + 3x * (4 + 10x)) = 0
((4 * 5 + 10x * 5) + 3x * (4 + 10x)) = 0
((20 + 50x) + 3x * (4 + 10x)) = 0
(20 + 50x + (4 * 3x + 10x * 3x)) = 0
(20 + 50x + (12x + 30x2)) = 0

Combine like terms: 50x + 12x = 62x
(20 + 62x + 30x2) = 0

Solving
20 + 62x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 31x + 15x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-1.666666667, -0.4}

See similar equations:

| -10(w-6)+9w=4(w+2) | | 2(x+1)=90 | | -10(w-6)+9w=4(w+9) | | 4d+3=-9 | | -6w+9=2 | | 0.16(y-5)+0.04y=0.10y-0.01(60) | | 15x-(-5)=10 | | 70=30+x | | 5t^2+20t=625 | | -8(w-4)+9w=2(w+9) | | 7x=8x+8 | | X+(x+3)(x-3)=3+x(x-1) | | 7x+(14x)(ln(x))=0 | | -4(9-8d)=27 | | 49x^2+64y^2-98x+128y-3023=0 | | -3x+(-3)+8x-24=6x+7-5x | | 7x-29=16x-17 | | 3.1=4.9-.2x | | 8x+7+7y+-34=180 | | 4|2y-3|-1=11 | | -.5x+1=-2x+2 | | 3x+4x-9=47 | | X^3-6x^2-11x-6= | | 9(4h-5)=27 | | 2(x+9)=4x+7-2x+11 | | 38-y=200-20y | | a=x-y-3 | | -12=-3(t+6) | | 70x+20= | | -4x+56=36 | | 4k+1=-36 | | Y=3x^2-15x+18 |

Equations solver categories