(14-7x)(-5x+13)=0

Simple and best practice solution for (14-7x)(-5x+13)=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 (14-7x)(-5x+13)=0 equation: 


Simplifying
(14 + -7x)(-5x + 13) = 0

Reorder the terms:
(14 + -7x)(13 + -5x) = 0

Multiply (14 + -7x) * (13 + -5x)
(14(13 + -5x) + -7x * (13 + -5x)) = 0
((13 * 14 + -5x * 14) + -7x * (13 + -5x)) = 0
((182 + -70x) + -7x * (13 + -5x)) = 0
(182 + -70x + (13 * -7x + -5x * -7x)) = 0
(182 + -70x + (-91x + 35x2)) = 0

Combine like terms: -70x + -91x = -161x
(182 + -161x + 35x2) = 0

Solving
182 + -161x + 35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(26 + -23x + 5x2) = 0

Factor a trinomial.
7((2 + -1x)(13 + -5x)) = 0

Ignore the factor 7.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(13 + -5x)' equal to zero and attempt to solve:

Simplifying
13 + -5x = 0

Solving
13 + -5x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -5x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = 0 + -13
-5x = 0 + -13

Combine like terms: 0 + -13 = -13
-5x = -13

Divide each side by '-5'.
x = 2.6

Simplifying
x = 2.6
Solution
x = {2, 2.6}

See similar equations:

| 2x^2+35=17x | | 6x-24-2x+8=50 | | x^3+x^2-3x-1=0 | | -y+5=-2x+4 | | 7(x+3)=2(x+33) | | x=-2+y | | x^4-4x^2+2x+1=0 | | 6x^3-27x=0 | | 4(x-5)=70-6x | | 4x-7=89-8x | | 2x-4=-5x+7 | | .66x-9x=6x | | 4x^2+20=24 | | x+5=2X-10 | | -(4y+3)-(-3y-8)=-2 | | 2x+2=4x-10 | | 8x-8=5x-17 | | 2(5x-7)=2x | | 12+3y=18 | | h-8=3h+3 | | 5y-6=14 | | 2(3x+4)=10x | | 7x+1=3x+12 | | 2(3x+5)=(16)x | | (3x+5)=2(16)x | | (3x+5)=16x | | 3y+5=17 | | .5(3x+5)=16x | | 5x-4=3x+10 | | 16x-1=20x+10 | | -4(18+8x)+12(7-3x)=50(x+3)-(15-x) | | x+10=2x-30 |

Equations solver categories