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

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


Simplifying
(5x + 8)(2x + -7) = 0

Reorder the terms:
(8 + 5x)(2x + -7) = 0

Reorder the terms:
(8 + 5x)(-7 + 2x) = 0

Multiply (8 + 5x) * (-7 + 2x)
(8(-7 + 2x) + 5x * (-7 + 2x)) = 0
((-7 * 8 + 2x * 8) + 5x * (-7 + 2x)) = 0
((-56 + 16x) + 5x * (-7 + 2x)) = 0
(-56 + 16x + (-7 * 5x + 2x * 5x)) = 0
(-56 + 16x + (-35x + 10x2)) = 0

Combine like terms: 16x + -35x = -19x
(-56 + -19x + 10x2) = 0

Solving
-56 + -19x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -5x)(7 + -2x) = 0


Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 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 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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 = {-1.6, 3.5}

See similar equations:

| -1=-5r | | 12-2a+3b= | | 7*x=-9 | | 50+(-14)=x | | 3m+15+-6=3m+9 | | 3m+5-6=3m+9 | | 7x^2-9x=7(x^2+63x) | | 1.25x+0.50=30 | | 2x+2.7=6x-2.8 | | 55x^6y^6=5x^4y | | (2x)(x+3)=20 | | 4(m+3)-6=2(2m+5) | | -26x+56=4x | | x+5-5=-9-x+5x | | 4n=21-3 | | 3t^2-6t^2=0 | | -6+6x=7x+2 | | 3x^2+12x=3(x^2+4x) | | 9(x+3)=x+-11x | | 4(5+2x)-(8x-12)=68 | | 9+2n=-6n-n | | 725=126x | | 2.88=-0.4t | | 5x-30+4=7x-4 | | 5x=3-1+2x | | 12x+80=27x+5 | | 9x+27=4x+-3 | | m=-6+13 | | 9x+27=4x+3 | | 5-36x=2x^2 | | (-6+6x)-(2x^2-4)=2 | | 4(x-4)-1=5x+3 |

Equations solver categories