(2x-7)(x+4)=

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


Simplifying
(2x + -7)(x + 4) = 0

Reorder the terms:
(-7 + 2x)(x + 4) = 0

Reorder the terms:
(-7 + 2x)(4 + x) = 0

Multiply (-7 + 2x) * (4 + x)
(-7(4 + x) + 2x * (4 + x)) = 0
((4 * -7 + x * -7) + 2x * (4 + x)) = 0
((-28 + -7x) + 2x * (4 + x)) = 0
(-28 + -7x + (4 * 2x + x * 2x)) = 0
(-28 + -7x + (8x + 2x2)) = 0

Combine like terms: -7x + 8x = 1x
(-28 + 1x + 2x2) = 0

Solving
-28 + 1x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(7 + -2x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

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 = {-4, 3.5}

See similar equations:

| W^4-81= | | 2x^2-13x-115=0 | | 228=28+x+28+x+x+x | | x+6/5x=33 | | 40r^2-24r-16=0 | | (7w-56/55)/w-8/15w | | 5n^2+5n/10n^2+25n | | 1/9x=2 | | x(x-0.5)-6.5x=x^2 | | x+6/5x=32 | | 38(n+5)+2=26 | | 14y^2-39y+25=0 | | 2/y-1-2/3=4/y+1 | | n^2-16n+28=0 | | -3x^2+x-1=0 | | 146=-3x^2+12x+135 | | 7s-11s=12 | | 9r/r2-64+r/r-8 | | 14b^2-61b-9=0 | | (x+4)/(x+5)=0 | | (x+1)/(x+2)=0 | | 156=-3x^2+12x+135 | | 3/x-3 | | 27x^2-35x+8=0 | | (x-1)/(x-2)=0 | | (10x-5)-3(3x+4)=-7 | | 1.5-0.25(a+4)=3+3(0.05-0.5)a | | (7w-56/55)/(w-8/15w) | | (x-3)/(x-4)=0 | | 3x^2+31x+70=0 | | 9v+6w+4v= | | (x+3)/(x+2)=0 |

Equations solver categories