2(x+9)(x-4)=x(x+9)+110

Simple and best practice solution for 2(x+9)(x-4)=x(x+9)+110 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+9)(x-4)=x(x+9)+110 equation: 


Simplifying
2(x + 9)(x + -4) = x(x + 9) + 110

Reorder the terms:
2(9 + x)(x + -4) = x(x + 9) + 110

Reorder the terms:
2(9 + x)(-4 + x) = x(x + 9) + 110

Multiply (9 + x) * (-4 + x)
2(9(-4 + x) + x(-4 + x)) = x(x + 9) + 110
2((-4 * 9 + x * 9) + x(-4 + x)) = x(x + 9) + 110
2((-36 + 9x) + x(-4 + x)) = x(x + 9) + 110
2(-36 + 9x + (-4 * x + x * x)) = x(x + 9) + 110
2(-36 + 9x + (-4x + x2)) = x(x + 9) + 110

Combine like terms: 9x + -4x = 5x
2(-36 + 5x + x2) = x(x + 9) + 110
(-36 * 2 + 5x * 2 + x2 * 2) = x(x + 9) + 110
(-72 + 10x + 2x2) = x(x + 9) + 110

Reorder the terms:
-72 + 10x + 2x2 = x(9 + x) + 110
-72 + 10x + 2x2 = (9 * x + x * x) + 110
-72 + 10x + 2x2 = (9x + x2) + 110

Reorder the terms:
-72 + 10x + 2x2 = 110 + 9x + x2

Solving
-72 + 10x + 2x2 = 110 + 9x + x2

Solving for variable 'x'.

Reorder the terms:
-72 + -110 + 10x + -9x + 2x2 + -1x2 = 110 + 9x + x2 + -110 + -9x + -1x2

Combine like terms: -72 + -110 = -182
-182 + 10x + -9x + 2x2 + -1x2 = 110 + 9x + x2 + -110 + -9x + -1x2

Combine like terms: 10x + -9x = 1x
-182 + 1x + 2x2 + -1x2 = 110 + 9x + x2 + -110 + -9x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-182 + 1x + 1x2 = 110 + 9x + x2 + -110 + -9x + -1x2

Reorder the terms:
-182 + 1x + 1x2 = 110 + -110 + 9x + -9x + x2 + -1x2

Combine like terms: 110 + -110 = 0
-182 + 1x + 1x2 = 0 + 9x + -9x + x2 + -1x2
-182 + 1x + 1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
-182 + 1x + 1x2 = 0 + x2 + -1x2
-182 + 1x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-182 + 1x + 1x2 = 0

Factor a trinomial.
(-14 + -1x)(13 + -1x) = 0


Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-14, 13}

See similar equations:

| ((1*2)/(3*4)/(5*6)/(7*8)/(9*1))=X | | ((1*2)/(3*4)/(5*6)/(7*8)/(9*0))=X | | (1*2)/(3*4)/(5*6)/(7*8)/(9*0)=X | | z/7=4/35z+2 | | (1+2*3+4*5+6*7+8*9+0)=Z | | (1*2+3*4+5*6+7*8)=T | | 30x-42x^2=0 | | (2x+5)(2x^2-7x+5)=0 | | (1*2+3*4+5*6+7*8+9*0)=T | | 5(6X-1)-3(3X-3)=20X+4 | | X(1*7)=4.071000 | | 3k-4=-1/2 | | 6x+10=4x-30 | | 2x+y=72 | | 25v-16=0 | | -2/7X=6/14 | | X*1/3=0.1234567890 | | 10s^2-29sw+10w^2=0 | | 2x-5+3x+1= | | 4c^3-12c^2+12c-3=0 | | mn-5n+4m-20=0 | | 24x^3y-92x^2y^2-72xy^3=0 | | 15=3+29x-16x^2 | | 18x^3y-33x^2y^2-30xy^3=0 | | 100*3-60*20*3+60-10= | | 29x-12-16x^2=0 | | 525+0.21x=525+0.31x | | 525+0.21= | | 3y+y=140 | | (4x+3y^2)dx+(2x^2y)dy=0 | | 2x+7x+50=180 | | 1.5q-1.1-4.3q=3.8q-4.8 |

Equations solver categories