2(x+4)(x+7)=(2x+1)(x-9)-3

Simple and best practice solution for 2(x+4)(x+7)=(2x+1)(x-9)-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 2(x+4)(x+7)=(2x+1)(x-9)-3 equation: 


Simplifying
2(x + 4)(x + 7) = (2x + 1)(x + -9) + -3

Reorder the terms:
2(4 + x)(x + 7) = (2x + 1)(x + -9) + -3

Reorder the terms:
2(4 + x)(7 + x) = (2x + 1)(x + -9) + -3

Multiply (4 + x) * (7 + x)
2(4(7 + x) + x(7 + x)) = (2x + 1)(x + -9) + -3
2((7 * 4 + x * 4) + x(7 + x)) = (2x + 1)(x + -9) + -3
2((28 + 4x) + x(7 + x)) = (2x + 1)(x + -9) + -3
2(28 + 4x + (7 * x + x * x)) = (2x + 1)(x + -9) + -3
2(28 + 4x + (7x + x2)) = (2x + 1)(x + -9) + -3

Combine like terms: 4x + 7x = 11x
2(28 + 11x + x2) = (2x + 1)(x + -9) + -3
(28 * 2 + 11x * 2 + x2 * 2) = (2x + 1)(x + -9) + -3
(56 + 22x + 2x2) = (2x + 1)(x + -9) + -3

Reorder the terms:
56 + 22x + 2x2 = (1 + 2x)(x + -9) + -3

Reorder the terms:
56 + 22x + 2x2 = (1 + 2x)(-9 + x) + -3

Multiply (1 + 2x) * (-9 + x)
56 + 22x + 2x2 = (1(-9 + x) + 2x * (-9 + x)) + -3
56 + 22x + 2x2 = ((-9 * 1 + x * 1) + 2x * (-9 + x)) + -3
56 + 22x + 2x2 = ((-9 + 1x) + 2x * (-9 + x)) + -3
56 + 22x + 2x2 = (-9 + 1x + (-9 * 2x + x * 2x)) + -3
56 + 22x + 2x2 = (-9 + 1x + (-18x + 2x2)) + -3

Combine like terms: 1x + -18x = -17x
56 + 22x + 2x2 = (-9 + -17x + 2x2) + -3

Reorder the terms:
56 + 22x + 2x2 = -9 + -3 + -17x + 2x2

Combine like terms: -9 + -3 = -12
56 + 22x + 2x2 = -12 + -17x + 2x2

Add '-2x2' to each side of the equation.
56 + 22x + 2x2 + -2x2 = -12 + -17x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
56 + 22x + 0 = -12 + -17x + 2x2 + -2x2
56 + 22x = -12 + -17x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
56 + 22x = -12 + -17x + 0
56 + 22x = -12 + -17x

Solving
56 + 22x = -12 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
56 + 22x + 17x = -12 + -17x + 17x

Combine like terms: 22x + 17x = 39x
56 + 39x = -12 + -17x + 17x

Combine like terms: -17x + 17x = 0
56 + 39x = -12 + 0
56 + 39x = -12

Add '-56' to each side of the equation.
56 + -56 + 39x = -12 + -56

Combine like terms: 56 + -56 = 0
0 + 39x = -12 + -56
39x = -12 + -56

Combine like terms: -12 + -56 = -68
39x = -68

Divide each side by '39'.
x = -1.743589744

Simplifying
x = -1.743589744

See similar equations:

| 4x=440 | | (2x+3)*(2x+3)=x*x+81 | | (X+63)+(x+43)+90=180 | | -16=5(x-4)+9 | | 4j-2k=46 | | 54-2x=9-7x | | 2(x+1)+3x=3 | | a^2+b^2=36 | | 8x+1-9x=4x+3-6x | | -5x+3(2x-11)=-29 | | Ln*x-1+ln*x+2=ln*6x-8 | | 7m-3=2n+62 | | ax-b=8c | | e^3x+4=11 | | 2(2y+8)+5y=-11 | | 4(2x+5)=16 | | p(-10)=6x^2-2x-10 | | 1+sin^2x=cosx^4 | | (2+x)(2x-5)=54 | | (2x^2)-(33x)+(16)=0 | | 5(x-3)=75-5x | | 18w^2+9w-2=0 | | 0.06y+0.08=0.02(y-8) | | 18w^2+18w-7=0 | | 2x+201=11x-6 | | x^2-7x+5=5 | | ln=77 | | 3j+5k=53 | | 5x^2+64=81 | | 3(x+6)-2(x-1)=4(x+7) | | 3(2+x)-7(3+8x)= | | 4x+8z=3+3y |

Equations solver categories