3(5x+1)+(5x+1)(5x+1)=(5x+1)(2x-3)

Simple and best practice solution for 3(5x+1)+(5x+1)(5x+1)=(5x+1)(2x-3) 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 3(5x+1)+(5x+1)(5x+1)=(5x+1)(2x-3) equation:


Simplifying
3(5x + 1) + (5x + 1)(5x + 1) = (5x + 1)(2x + -3)

Reorder the terms:
3(1 + 5x) + (5x + 1)(5x + 1) = (5x + 1)(2x + -3)
(1 * 3 + 5x * 3) + (5x + 1)(5x + 1) = (5x + 1)(2x + -3)
(3 + 15x) + (5x + 1)(5x + 1) = (5x + 1)(2x + -3)

Reorder the terms:
3 + 15x + (1 + 5x)(5x + 1) = (5x + 1)(2x + -3)

Reorder the terms:
3 + 15x + (1 + 5x)(1 + 5x) = (5x + 1)(2x + -3)

Multiply (1 + 5x) * (1 + 5x)
3 + 15x + (1(1 + 5x) + 5x * (1 + 5x)) = (5x + 1)(2x + -3)
3 + 15x + ((1 * 1 + 5x * 1) + 5x * (1 + 5x)) = (5x + 1)(2x + -3)
3 + 15x + ((1 + 5x) + 5x * (1 + 5x)) = (5x + 1)(2x + -3)
3 + 15x + (1 + 5x + (1 * 5x + 5x * 5x)) = (5x + 1)(2x + -3)
3 + 15x + (1 + 5x + (5x + 25x2)) = (5x + 1)(2x + -3)

Combine like terms: 5x + 5x = 10x
3 + 15x + (1 + 10x + 25x2) = (5x + 1)(2x + -3)

Reorder the terms:
3 + 1 + 15x + 10x + 25x2 = (5x + 1)(2x + -3)

Combine like terms: 3 + 1 = 4
4 + 15x + 10x + 25x2 = (5x + 1)(2x + -3)

Combine like terms: 15x + 10x = 25x
4 + 25x + 25x2 = (5x + 1)(2x + -3)

Reorder the terms:
4 + 25x + 25x2 = (1 + 5x)(2x + -3)

Reorder the terms:
4 + 25x + 25x2 = (1 + 5x)(-3 + 2x)

Multiply (1 + 5x) * (-3 + 2x)
4 + 25x + 25x2 = (1(-3 + 2x) + 5x * (-3 + 2x))
4 + 25x + 25x2 = ((-3 * 1 + 2x * 1) + 5x * (-3 + 2x))
4 + 25x + 25x2 = ((-3 + 2x) + 5x * (-3 + 2x))
4 + 25x + 25x2 = (-3 + 2x + (-3 * 5x + 2x * 5x))
4 + 25x + 25x2 = (-3 + 2x + (-15x + 10x2))

Combine like terms: 2x + -15x = -13x
4 + 25x + 25x2 = (-3 + -13x + 10x2)

Solving
4 + 25x + 25x2 = -3 + -13x + 10x2

Solving for variable 'x'.

Reorder the terms:
4 + 3 + 25x + 13x + 25x2 + -10x2 = -3 + -13x + 10x2 + 3 + 13x + -10x2

Combine like terms: 4 + 3 = 7
7 + 25x + 13x + 25x2 + -10x2 = -3 + -13x + 10x2 + 3 + 13x + -10x2

Combine like terms: 25x + 13x = 38x
7 + 38x + 25x2 + -10x2 = -3 + -13x + 10x2 + 3 + 13x + -10x2

Combine like terms: 25x2 + -10x2 = 15x2
7 + 38x + 15x2 = -3 + -13x + 10x2 + 3 + 13x + -10x2

Reorder the terms:
7 + 38x + 15x2 = -3 + 3 + -13x + 13x + 10x2 + -10x2

Combine like terms: -3 + 3 = 0
7 + 38x + 15x2 = 0 + -13x + 13x + 10x2 + -10x2
7 + 38x + 15x2 = -13x + 13x + 10x2 + -10x2

Combine like terms: -13x + 13x = 0
7 + 38x + 15x2 = 0 + 10x2 + -10x2
7 + 38x + 15x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
7 + 38x + 15x2 = 0

Factor a trinomial.
(7 + 3x)(1 + 5x) = 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 '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2

Solution

x = {-2.333333333, -0.2}

See similar equations:

| 12x(4+x)=12+4 | | 3(5x+1)+(5x+1)(5x+1)=(5x+1)(3x-2) | | 3(5x+1)+(5x+1)(5x+1)=(5x+1)(3x-3) | | (X/2)-1=2 | | 2x-24=-100 | | 3K^2=-5K | | (1/2)x-4=12 | | 20*2x=60 | | -24-25=1 | | 6b-1-b=19 | | 7k+8+8k=-22 | | x/8-1/3=1/6-x/4 | | Xy+3x-4y=2 | | 1-m-2=1 | | 100/x=0.15 | | 3(5x+1)+(5x+1)(5x+1)=(5x+1) | | 6+p+3=8 | | (4-3)2= | | 12-7x+4=1x+2x | | 3p+8p=-11 | | 100/x=.15 | | 12+a-a^2=0 | | 8x-3x=5 | | 9x-15y=24 | | 2/5=/45 | | -2n-8n=10 | | 9+3x-5=1x+2x | | (3x+4)(3x+4)-81=0 | | 7x+2-5x=-2 | | -2x=-2+1 | | 7+3b=-1-5b | | x+5+2x=-4 |

Equations solver categories