(2x+4)(2x+5)=306

Simple and best practice solution for (2x+4)(2x+5)=306 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 (2x+4)(2x+5)=306 equation:


Simplifying
(2x + 4)(2x + 5) = 306

Reorder the terms:
(4 + 2x)(2x + 5) = 306

Reorder the terms:
(4 + 2x)(5 + 2x) = 306

Multiply (4 + 2x) * (5 + 2x)
(4(5 + 2x) + 2x * (5 + 2x)) = 306
((5 * 4 + 2x * 4) + 2x * (5 + 2x)) = 306
((20 + 8x) + 2x * (5 + 2x)) = 306
(20 + 8x + (5 * 2x + 2x * 2x)) = 306
(20 + 8x + (10x + 4x2)) = 306

Combine like terms: 8x + 10x = 18x
(20 + 18x + 4x2) = 306

Solving
20 + 18x + 4x2 = 306

Solving for variable 'x'.

Reorder the terms:
20 + -306 + 18x + 4x2 = 306 + -306

Combine like terms: 20 + -306 = -286
-286 + 18x + 4x2 = 306 + -306

Combine like terms: 306 + -306 = 0
-286 + 18x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-143 + 9x + 2x2) = 0

Factor a trinomial.
2((-11 + -1x)(13 + -2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 2

Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 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 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5

Solution

x = {-11, 6.5}

See similar equations:

| (30(70-X))/2 | | -4x-13x+8=-15x-34 | | (2x+13)=41 | | 9[7-(-6x-9)]=108x+22 | | 9[7-(6x-9)]=108x+225 | | 8=8x-34 | | 32+69+79= | | 5x+13=3(x+4)+2x+1 | | x+32+(x+10)=180 | | 15x+5=8x+12 | | -10x+12=8x-18 | | 4(2x-5)=4x+34+2(2x+3) | | 12=18x-18 | | -2(13x-1)+9(3x-4)-9=5-2 | | 5(x+3)-1=3(x+6) | | 35=9/5y | | 35=5/9y | | 4x+3x-2x=9 | | 3(2x+5)=6-3x | | 5/9(4-32)=-62.F | | 12x-(2x-12)=7+9x | | 100-0.5p=10+0.5p | | y=1/2x-8:(-6,-17) | | 3y(y-2)=11 | | Y^2-5=-X^2-2X | | Cotgx=2 | | 5/9(4-32)=25 | | Y^2-5=-Y^2-2Y | | 4(3x+7)-5=12x+8 | | (4x-15)+x=180 | | 48/4=3*? | | 4(-X-20)=76x |

Equations solver categories