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

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


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

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

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

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

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

Multiply (-2 + x) * (3 + 2x)
1 = -2 + 2x + 2x2 + -1(-2(3 + 2x) + x(3 + 2x))
1 = -2 + 2x + 2x2 + -1((3 * -2 + 2x * -2) + x(3 + 2x))
1 = -2 + 2x + 2x2 + -1((-6 + -4x) + x(3 + 2x))
1 = -2 + 2x + 2x2 + -1(-6 + -4x + (3 * x + 2x * x))
1 = -2 + 2x + 2x2 + -1(-6 + -4x + (3x + 2x2))

Combine like terms: -4x + 3x = -1x
1 = -2 + 2x + 2x2 + -1(-6 + -1x + 2x2)
1 = -2 + 2x + 2x2 + (-6 * -1 + -1x * -1 + 2x2 * -1)
1 = -2 + 2x + 2x2 + (6 + 1x + -2x2)

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

Combine like terms: -2 + 6 = 4
1 = 4 + 2x + 1x + 2x2 + -2x2

Combine like terms: 2x + 1x = 3x
1 = 4 + 3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1 = 4 + 3x + 0
1 = 4 + 3x

Solving
1 = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + -3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -3x = 4 + 0
1 + -3x = 4

Add '-1' to each side of the equation.
1 + -1 + -3x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 4 + -1
-3x = 4 + -1

Combine like terms: 4 + -1 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

See similar equations:

| 8(x+5)=448 | | i^2-4z=0 | | 77y=38(2y+8) | | (8*x)+(8*5)=56 | | 6/4x2= | | 3/2*6 | | 3x-2=2y | | 3xa=-12 | | 2x+x+8=90 | | y=-4x/y | | 0.25x+x=8244 | | 5t=4t+2 | | X^3+16=x^2+16x | | (3/2)*(6/1) | | 0.25x+x=125 | | 2y^2-2y-60=0 | | (3/2)(6/1) | | 86-5=2 | | 25x+8-28x=6-7 | | 64x^3=125 | | 5x-1(4)=1/3 | | 9/x=18 | | (3u+8)(3-u)=0 | | 7(x+3)=2(x-4) | | 4(1+x)=80 | | lx-2l=3 | | Y=9mx+b | | 3x*2+y=14 | | 3y-x-4=0 | | 9x^2-6x-5=0 | | (4*1)+(4*x)=20 | | (1/4)(-12)= |

Equations solver categories