(2-3x)(2x+5)-(4-x)(5x+1)-(3-x)(x+2)=0

Simple and best practice solution for (2-3x)(2x+5)-(4-x)(5x+1)-(3-x)(x+2)=0 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 (2-3x)(2x+5)-(4-x)(5x+1)-(3-x)(x+2)=0 equation:


Simplifying
(2 + -3x)(2x + 5) + -1(4 + -1x)(5x + 1) + -1(3 + -1x)(x + 2) = 0

Reorder the terms:
(2 + -3x)(5 + 2x) + -1(4 + -1x)(5x + 1) + -1(3 + -1x)(x + 2) = 0

Multiply (2 + -3x) * (5 + 2x)
(2(5 + 2x) + -3x * (5 + 2x)) + -1(4 + -1x)(5x + 1) + -1(3 + -1x)(x + 2) = 0
((5 * 2 + 2x * 2) + -3x * (5 + 2x)) + -1(4 + -1x)(5x + 1) + -1(3 + -1x)(x + 2) = 0
((10 + 4x) + -3x * (5 + 2x)) + -1(4 + -1x)(5x + 1) + -1(3 + -1x)(x + 2) = 0
(10 + 4x + (5 * -3x + 2x * -3x)) + -1(4 + -1x)(5x + 1) + -1(3 + -1x)(x + 2) = 0
(10 + 4x + (-15x + -6x2)) + -1(4 + -1x)(5x + 1) + -1(3 + -1x)(x + 2) = 0

Combine like terms: 4x + -15x = -11x
(10 + -11x + -6x2) + -1(4 + -1x)(5x + 1) + -1(3 + -1x)(x + 2) = 0

Reorder the terms:
10 + -11x + -6x2 + -1(4 + -1x)(1 + 5x) + -1(3 + -1x)(x + 2) = 0

Multiply (4 + -1x) * (1 + 5x)
10 + -11x + -6x2 + -1(4(1 + 5x) + -1x * (1 + 5x)) + -1(3 + -1x)(x + 2) = 0
10 + -11x + -6x2 + -1((1 * 4 + 5x * 4) + -1x * (1 + 5x)) + -1(3 + -1x)(x + 2) = 0
10 + -11x + -6x2 + -1((4 + 20x) + -1x * (1 + 5x)) + -1(3 + -1x)(x + 2) = 0
10 + -11x + -6x2 + -1(4 + 20x + (1 * -1x + 5x * -1x)) + -1(3 + -1x)(x + 2) = 0
10 + -11x + -6x2 + -1(4 + 20x + (-1x + -5x2)) + -1(3 + -1x)(x + 2) = 0

Combine like terms: 20x + -1x = 19x
10 + -11x + -6x2 + -1(4 + 19x + -5x2) + -1(3 + -1x)(x + 2) = 0
10 + -11x + -6x2 + (4 * -1 + 19x * -1 + -5x2 * -1) + -1(3 + -1x)(x + 2) = 0
10 + -11x + -6x2 + (-4 + -19x + 5x2) + -1(3 + -1x)(x + 2) = 0

Reorder the terms:
10 + -11x + -6x2 + -4 + -19x + 5x2 + -1(3 + -1x)(2 + x) = 0

Multiply (3 + -1x) * (2 + x)
10 + -11x + -6x2 + -4 + -19x + 5x2 + -1(3(2 + x) + -1x * (2 + x)) = 0
10 + -11x + -6x2 + -4 + -19x + 5x2 + -1((2 * 3 + x * 3) + -1x * (2 + x)) = 0
10 + -11x + -6x2 + -4 + -19x + 5x2 + -1((6 + 3x) + -1x * (2 + x)) = 0
10 + -11x + -6x2 + -4 + -19x + 5x2 + -1(6 + 3x + (2 * -1x + x * -1x)) = 0
10 + -11x + -6x2 + -4 + -19x + 5x2 + -1(6 + 3x + (-2x + -1x2)) = 0

Combine like terms: 3x + -2x = 1x
10 + -11x + -6x2 + -4 + -19x + 5x2 + -1(6 + 1x + -1x2) = 0
10 + -11x + -6x2 + -4 + -19x + 5x2 + (6 * -1 + 1x * -1 + -1x2 * -1) = 0
10 + -11x + -6x2 + -4 + -19x + 5x2 + (-6 + -1x + 1x2) = 0

Reorder the terms:
10 + -4 + -6 + -11x + -19x + -1x + -6x2 + 5x2 + 1x2 = 0

Combine like terms: 10 + -4 = 6
6 + -6 + -11x + -19x + -1x + -6x2 + 5x2 + 1x2 = 0

Combine like terms: 6 + -6 = 0
0 + -11x + -19x + -1x + -6x2 + 5x2 + 1x2 = 0
-11x + -19x + -1x + -6x2 + 5x2 + 1x2 = 0

Combine like terms: -11x + -19x = -30x
-30x + -1x + -6x2 + 5x2 + 1x2 = 0

Combine like terms: -30x + -1x = -31x
-31x + -6x2 + 5x2 + 1x2 = 0

Combine like terms: -6x2 + 5x2 = -1x2
-31x + -1x2 + 1x2 = 0

Combine like terms: -1x2 + 1x2 = 0
-31x + 0 = 0
-31x = 0

Solving
-31x = 0

Solving for variable 'x'.

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

Divide each side by '-31'.
x = 0

Simplifying
x = 0

See similar equations:

| x^3-7x^2+7x-49= | | 4(X-7)=3x+7 | | 1000000=700*1000+1200x | | 6/11x4/11 | | 2(2x+3)=x+6 | | 4x-(2000/x^2) | | 4(X-7)=3x-7 | | -2(4s-4)-8=-3(8s+1)-5 | | log(9*x+6)=2 | | 75y=-462 | | y-6=5(x+6) | | (V^3/-3u^2)^4 | | 6/11x2/27 | | 2/11x2/7 | | (1+x)(3x+4)-(2x+1)(x-3)=x(x-4)+23 | | (5x+6)-(3+4)=10 | | 2a-4=4a+6 | | 3/8m=24 | | 5(2d+4)=170 | | 10x-21=3x | | 12/5-3x=4 | | 5x-5=8x+11 | | 9y-2=4y-22 | | 0=x^4+8x^3+25x^2+66x+30 | | 3x^3-2x^2-15x+10= | | y=x^4+8x^3+25x^2+66x+30 | | 5(4x+1)-2(3x-4)=2(x+3)-(3x-7) | | 2m/7=14 | | (2x+7)(x+9)=0 | | 7(x+3)-10=6 | | 17/3=x/7 | | 5x+45=86 |

Equations solver categories