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

Simple and best practice solution for (7x+2)(5x-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 (7x+2)(5x-8)=0 equation: 


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

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

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

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

Combine like terms: 10x + -56x = -46x
(-16 + -46x + 35x2) = 0

Solving
-16 + -46x + 35x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve:

Simplifying
-2 + -7x = 0

Solving
-2 + -7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 0 + 2
-7x = 0 + 2

Combine like terms: 0 + 2 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

Subproblem 2
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
Solution
x = {-0.2857142857, 1.6}

See similar equations:

| x^2-2x-3=0 | | 24x=7+53 | | -4a-6c+5b+c-2b= | | 0.25x+1.5=4 | | -2x(4x+1)=0 | | 19/2÷2/2/5 | | -1/9(27a-81)-24= | | 3/5x-1/2=7/5 | | 19/2÷225 | | 7x/10=2 | | -4x(x+2)-24=-10+-6 | | -3+5x=27 | | x/4-2=-9 | | -4x(x+2)-24=-10-6 | | x^2+11y=2 | | y=-x*-x+9 | | 87+o=87xn | | y=-xsqared+9 | | 2(x+1)+2(x-2)=x+3 | | 3y+6y=40 | | 6x-4=-20 | | 3x(x)=972 | | -20=2d | | a/4+2=-7 | | 4/5(20)= | | 70=6x+7x+5 | | 7-1/2(5y-3)=10-4/5(3-4y) | | x/30=44 | | 4/3x-4/kx | | 16xX=80 | | 4/5d=20 | | 3x+16+5x-11=6x+(49-8) |

Equations solver categories