3+2x(3x-4)=2x+12-(x-7)

Simple and best practice solution for 3+2x(3x-4)=2x+12-(x-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 3+2x(3x-4)=2x+12-(x-7) equation:


Simplifying
3 + 2x(3x + -4) = 2x + 12 + -1(x + -7)

Reorder the terms:
3 + 2x(-4 + 3x) = 2x + 12 + -1(x + -7)
3 + (-4 * 2x + 3x * 2x) = 2x + 12 + -1(x + -7)
3 + (-8x + 6x2) = 2x + 12 + -1(x + -7)

Reorder the terms:
3 + -8x + 6x2 = 2x + 12 + -1(-7 + x)
3 + -8x + 6x2 = 2x + 12 + (-7 * -1 + x * -1)
3 + -8x + 6x2 = 2x + 12 + (7 + -1x)

Reorder the terms:
3 + -8x + 6x2 = 12 + 7 + 2x + -1x

Combine like terms: 12 + 7 = 19
3 + -8x + 6x2 = 19 + 2x + -1x

Combine like terms: 2x + -1x = 1x
3 + -8x + 6x2 = 19 + 1x

Solving
3 + -8x + 6x2 = 19 + 1x

Solving for variable 'x'.

Reorder the terms:
3 + -19 + -8x + -1x + 6x2 = 19 + 1x + -19 + -1x

Combine like terms: 3 + -19 = -16
-16 + -8x + -1x + 6x2 = 19 + 1x + -19 + -1x

Combine like terms: -8x + -1x = -9x
-16 + -9x + 6x2 = 19 + 1x + -19 + -1x

Reorder the terms:
-16 + -9x + 6x2 = 19 + -19 + 1x + -1x

Combine like terms: 19 + -19 = 0
-16 + -9x + 6x2 = 0 + 1x + -1x
-16 + -9x + 6x2 = 1x + -1x

Combine like terms: 1x + -1x = 0
-16 + -9x + 6x2 = 0

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
-2.666666667 + -1.5x + x2 = 0

Move the constant term to the right:

Add '2.666666667' to each side of the equation.
-2.666666667 + -1.5x + 2.666666667 + x2 = 0 + 2.666666667

Reorder the terms:
-2.666666667 + 2.666666667 + -1.5x + x2 = 0 + 2.666666667

Combine like terms: -2.666666667 + 2.666666667 = 0.000000000
0.000000000 + -1.5x + x2 = 0 + 2.666666667
-1.5x + x2 = 0 + 2.666666667

Combine like terms: 0 + 2.666666667 = 2.666666667
-1.5x + x2 = 2.666666667

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = 2.666666667 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = 2.666666667 + 0.5625

Combine like terms: 2.666666667 + 0.5625 = 3.229166667
0.5625 + -1.5x + x2 = 3.229166667

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = 3.229166667

Calculate the square root of the right side: 1.796988221

Break this problem into two subproblems by setting 
(x + -0.75) equal to 1.796988221 and -1.796988221.

Subproblem 1

x + -0.75 = 1.796988221 Simplifying x + -0.75 = 1.796988221 Reorder the terms: -0.75 + x = 1.796988221 Solving -0.75 + x = 1.796988221 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = 1.796988221 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 1.796988221 + 0.75 x = 1.796988221 + 0.75 Combine like terms: 1.796988221 + 0.75 = 2.546988221 x = 2.546988221 Simplifying x = 2.546988221

Subproblem 2

x + -0.75 = -1.796988221 Simplifying x + -0.75 = -1.796988221 Reorder the terms: -0.75 + x = -1.796988221 Solving -0.75 + x = -1.796988221 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = -1.796988221 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -1.796988221 + 0.75 x = -1.796988221 + 0.75 Combine like terms: -1.796988221 + 0.75 = -1.046988221 x = -1.046988221 Simplifying x = -1.046988221

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.546988221, -1.046988221}

See similar equations:

| 8x+(5x-6-4x+1)=x-(x-4) | | 5(x+3)=3(4+2x) | | x+1+3x-3-6x+2=x+9 | | x^2+mx-5=0 | | -3(4x-21)=3 | | 33x+4y=78 | | 39+x=x(8+5) | | 26-7(4-2x)=6(5+x)+8(x+4) | | 5d+6=20 | | 10x-2x-1=x | | 9=5m | | 3G-2h= | | x+5y=85 | | 10=4q | | 2b=7 | | 2t-5=t-(3t+4) | | 13x-5=8x+3 | | 60-7x=11x+20 | | 7x-66=5x-12 | | 7+7x+x=63 | | 6(x^2+3)+8x-2x^2=x^2+8+x+10 | | 170-3X=42X+15 | | 6x^2+6+8x-2x^2=x^2+x+10 | | 10x-6=8x+24 | | 12-10X=104-38X | | 62-7x=29x+22 | | 8-8x=95-29x | | 3x+5=5x+15 | | -62-7x=9x+18 | | 8x-(7+11x)=5 | | 4(3x-1)=9x+2 | | 90-5X=9X-20 |

Equations solver categories