3x(2x-3)=(x+1)(x+1)-7

Simple and best practice solution for 3x(2x-3)=(x+1)(x+1)-7 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(2x-3)=(x+1)(x+1)-7 equation: 


Simplifying
3x(2x + -3) = (x + 1)(x + 1) + -7

Reorder the terms:
3x(-3 + 2x) = (x + 1)(x + 1) + -7
(-3 * 3x + 2x * 3x) = (x + 1)(x + 1) + -7
(-9x + 6x2) = (x + 1)(x + 1) + -7

Reorder the terms:
-9x + 6x2 = (1 + x)(x + 1) + -7

Reorder the terms:
-9x + 6x2 = (1 + x)(1 + x) + -7

Multiply (1 + x) * (1 + x)
-9x + 6x2 = (1(1 + x) + x(1 + x)) + -7
-9x + 6x2 = ((1 * 1 + x * 1) + x(1 + x)) + -7
-9x + 6x2 = ((1 + 1x) + x(1 + x)) + -7
-9x + 6x2 = (1 + 1x + (1 * x + x * x)) + -7
-9x + 6x2 = (1 + 1x + (1x + x2)) + -7

Combine like terms: 1x + 1x = 2x
-9x + 6x2 = (1 + 2x + x2) + -7

Reorder the terms:
-9x + 6x2 = 1 + -7 + 2x + x2

Combine like terms: 1 + -7 = -6
-9x + 6x2 = -6 + 2x + x2

Solving
-9x + 6x2 = -6 + 2x + x2

Solving for variable 'x'.

Reorder the terms:
6 + -9x + -2x + 6x2 + -1x2 = -6 + 2x + x2 + 6 + -2x + -1x2

Combine like terms: -9x + -2x = -11x
6 + -11x + 6x2 + -1x2 = -6 + 2x + x2 + 6 + -2x + -1x2

Combine like terms: 6x2 + -1x2 = 5x2
6 + -11x + 5x2 = -6 + 2x + x2 + 6 + -2x + -1x2

Reorder the terms:
6 + -11x + 5x2 = -6 + 6 + 2x + -2x + x2 + -1x2

Combine like terms: -6 + 6 = 0
6 + -11x + 5x2 = 0 + 2x + -2x + x2 + -1x2
6 + -11x + 5x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
6 + -11x + 5x2 = 0 + x2 + -1x2
6 + -11x + 5x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -11x + 5x2 = 0

Factor a trinomial.
(1 + -1x)(6 + -5x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {1, 1.2}

See similar equations:

| -7t=59 | | 0.03(2c-26)=0.6(c-2) | | -y/3=5/-3 | | -3m(m-4)=0 | | 2(3x-4)=24 | | 5n^2-10n+7=0 | | 6(u-6)=-7u+42 | | 2x-4(x+2)=10 | | 7/30x360 | | 5x^6/x^3 | | -1/2-3/7 | | -20-4(x-3)=-4 | | 5x-52=9x | | -3(4p+5)-2(3-11p)=3(4+3p) | | 3(x-2)+7=-2 | | y+1/2x-9/2=0 | | log[2](3x+4)=4 | | 5x^2-4x/3x^3 | | X^3-3x^2-7x+21=0 | | 1/4(-10)=-50 | | -7x^2+7x+6=0 | | 3t^2-20=7t | | w^2+22w=-121 | | 3(2x-4)=5(x-2) | | w^2+22w=121 | | r^3=36r | | x/3-8/15 | | 5(x-2)=90 | | 12-(7)-2=x | | 20=x-20 | | 11n^2+21n=2 | | Z+13.4=-5.6 |

Equations solver categories