(2x-7)(x+8)=0

Simple and best practice solution for (2x-7)(x+8)=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 (2x-7)(x+8)=0 equation:


Simplifying
(2x + -7)(x + 8) = 0

Reorder the terms:
(-7 + 2x)(x + 8) = 0

Reorder the terms:
(-7 + 2x)(8 + x) = 0

Multiply (-7 + 2x) * (8 + x)
(-7(8 + x) + 2x * (8 + x)) = 0
((8 * -7 + x * -7) + 2x * (8 + x)) = 0
((-56 + -7x) + 2x * (8 + x)) = 0
(-56 + -7x + (8 * 2x + x * 2x)) = 0
(-56 + -7x + (16x + 2x2)) = 0

Combine like terms: -7x + 16x = 9x
(-56 + 9x + 2x2) = 0

Solving
-56 + 9x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(7 + -2x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

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

Solution

x = {-8, 3.5}

See similar equations:

| 48y^2+12y+(-40y)+(-10)= | | -1x+4=2x-11 | | a^2-20a+100=0 | | x^2+5x+7=7 | | 4x-9y=-1 | | 3(x-8)+2(x+-4)=48 | | -9=-9y+24 | | 4(x+3)=4(1+x) | | 3x=-45+24 | | -15=15 | | -6x=18 | | X/-2+(-6)=6 | | -10w-15=-5(2w+3) | | -15=7n-22 | | 15=-9y+24 | | 3/5x=27 | | -8=-20+2/3x | | 9a-15-3a=-21 | | x/-6 | | 1/5x-2=-3 | | 1/4x=1/2 | | -2x+6=-2(2x-6) | | logx=2.5 | | 5/8x=-15 | | 2x^2-7x-3=6 | | -49z^4+(-56z^3)+28z^2+(-7z^3)+(-8z^2)+4z+21z^2+24z+(-12)= | | 7c+8c=30 | | 2.83x+17=36.81 | | 7*x^2=252 | | -1=-2/7x-7 | | 15=10-x/4 | | x+3/5x+6/5=-1/2(x-3/5) |

Equations solver categories