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

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


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

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

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

Multiply (2 + 5x) * (-7 + x)
(2(-7 + x) + 5x * (-7 + x)) = 0
((-7 * 2 + x * 2) + 5x * (-7 + x)) = 0
((-14 + 2x) + 5x * (-7 + x)) = 0
(-14 + 2x + (-7 * 5x + x * 5x)) = 0
(-14 + 2x + (-35x + 5x2)) = 0

Combine like terms: 2x + -35x = -33x
(-14 + -33x + 5x2) = 0

Solving
-14 + -33x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 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 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-0.4, 7}

See similar equations:

| -7x=2 | | -3y+8=-4y+5 | | 9-n=n+5 | | -39=1+8x | | 7n-4=2n-4 | | 9(11-k)=3(3x-9) | | -4x+1=4x+9 | | -m-2=14-3m | | x^2=4+2x | | 8z+2=-54 | | 6w^2+37w+45=0 | | 3x-9=33 | | p+2=-7+4p | | m+12.5=-7.5 | | 3x^2+5=152 | | 6y^3+12y^2+3y=0 | | 7t+13t=80 | | 1+8n=-7+4n | | -5-1= | | -5+1= | | 14x=52 | | x(7-2)=2(7-x) | | 4(3x-6)=12(x-2) | | 7t-8=27 | | r+9=16 | | 12d+4=-8 | | 8p+3=7+7p | | 8x=148 | | 11x+7-4=10x-3 | | 7x^2-4x=0 | | 5x+y-6=0 | | 100-3x=37 |

Equations solver categories