(2x+7)(x-5)=8x+28

Simple and best practice solution for (2x+7)(x-5)=8x+28 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+7)(x-5)=8x+28 equation:


Simplifying
(2x + 7)(x + -5) = 8x + 28

Reorder the terms:
(7 + 2x)(x + -5) = 8x + 28

Reorder the terms:
(7 + 2x)(-5 + x) = 8x + 28

Multiply (7 + 2x) * (-5 + x)
(7(-5 + x) + 2x * (-5 + x)) = 8x + 28
((-5 * 7 + x * 7) + 2x * (-5 + x)) = 8x + 28
((-35 + 7x) + 2x * (-5 + x)) = 8x + 28
(-35 + 7x + (-5 * 2x + x * 2x)) = 8x + 28
(-35 + 7x + (-10x + 2x2)) = 8x + 28

Combine like terms: 7x + -10x = -3x
(-35 + -3x + 2x2) = 8x + 28

Reorder the terms:
-35 + -3x + 2x2 = 28 + 8x

Solving
-35 + -3x + 2x2 = 28 + 8x

Solving for variable 'x'.

Reorder the terms:
-35 + -28 + -3x + -8x + 2x2 = 28 + 8x + -28 + -8x

Combine like terms: -35 + -28 = -63
-63 + -3x + -8x + 2x2 = 28 + 8x + -28 + -8x

Combine like terms: -3x + -8x = -11x
-63 + -11x + 2x2 = 28 + 8x + -28 + -8x

Reorder the terms:
-63 + -11x + 2x2 = 28 + -28 + 8x + -8x

Combine like terms: 28 + -28 = 0
-63 + -11x + 2x2 = 0 + 8x + -8x
-63 + -11x + 2x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-63 + -11x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(9 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-3.5, 9}

See similar equations:

| 2(x+1)=2x+6 | | t^2=64 | | .6666666667(x+9)=.4444444444x+1 | | 2(6x-9)=14x+2-2x+16 | | 2x+36=80 | | =4+(8x+9)+2 | | (3x+4)(x-4)=9x+12 | | X+0=5x-3 | | 2x+4x+12=6(x+2) | | 2a-4=22 | | -7x-3(9-5x)=6 | | 72=3x+5(11-4x) | | 4m+43=9m-2 | | 2x-22=74 | | 16277.76=4*3.14*r^2 | | 5(x+3)=x+15 | | 2s+34=17s+4 | | 2a-15=27 | | 6(2x+9)=5x+12 | | =7(2+x)+6 | | 4v-28=v+14 | | x^2+7x^2-8=0 | | 3x+21=16x-5 | | 2w-15=3w+1 | | 14x^2+5-7x^2-14+4= | | 9-20x=x-3 | | 4y+20-15= | | 2x-33=97 | | 3m(2m-9+6m)=3m+29-7m | | 9sinx+16cosx=0 | | 14x^2+5-7x^2-24+4= | | (4y+3)(y+7)=-3(4y+3) |

Equations solver categories