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

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


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

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

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

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

Combine like terms: -2x + 7x = 5x
(-14 + 5x + x2) = 0

Solving
-14 + 5x + x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-7, 2}

See similar equations:

| (4x-7)(x^2-2x+1)= | | 7-16=8y-7y+3 | | (8a^-6)^(-2/3) | | (2x-7)(x+4y)= | | 4.5=4.5z-4.25+6.25+6.25 | | 80,000.00+209.00x=249,783.00 | | 7x-3(-5x-2)=-38 | | 80,000.00+209.00x=150,015 | | log[3](81)=3x+8 | | 6(y-3)-2=-4(4y+1)-4y | | 80,00000+209.00x=150,015 | | -2x((x^2)-25)(x-5)= | | 2*xln*x-x=0 | | -2x((x^2)-25)*(x-5)= | | 9[5-7(x-1)]+6[(3x+2)-5]=12x-341 | | -15.5=u/7 | | 7t^2(t-t^2+7t^3)= | | 9x+18-x=34 | | 7x+15x-2x=15-10 | | (6x^2)-54= | | 0.1x+0.6y=-2.3 | | 1-7/11=4/11 | | (x^2)-7x+12= | | 9=-8y | | 1-7/11= | | 2tan^2x+3tanx-2=0 | | [5(x-3)]/10 | | 6sec^2x=12 | | 5x-9=3x+27 | | -6x-119=-68 | | x^4-ax^2+1=0 | | [5(×-3)]/10 |

Equations solver categories