(x-9)(2x+7)=0

Simple and best practice solution for (x-9)(2x+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-9)(2x+7)=0 equation: 


Simplifying
(x + -9)(2x + 7) = 0

Reorder the terms:
(-9 + x)(2x + 7) = 0

Reorder the terms:
(-9 + x)(7 + 2x) = 0

Multiply (-9 + x) * (7 + 2x)
(-9(7 + 2x) + x(7 + 2x)) = 0
((7 * -9 + 2x * -9) + x(7 + 2x)) = 0
((-63 + -18x) + x(7 + 2x)) = 0
(-63 + -18x + (7 * x + 2x * x)) = 0
(-63 + -18x + (7x + 2x2)) = 0

Combine like terms: -18x + 7x = -11x
(-63 + -11x + 2x2) = 0

Solving
-63 + -11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -2x)(9 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-3.5, 9}

See similar equations:

| 7z^2+14z-az-2a=0 | | 2x^2-12x+4=0 | | 15x-8=10+9x | | 2(4d+7)=2d-4 | | -x+6=7x-50 | | 5x^9-40x^7=0 | | 9x^2+27x-2= | | P=c+3b+a | | b^2+6bp-27p^2=0 | | 8a^2+2a=0 | | y=-9x+1 | | x-8.3=-4.9 | | s+21=17 | | 10r+7=8(2r-4)-9 | | 2(5x-1)+4(x+4)=7(x+2)-(x+10) | | 6b+4=5(3b+8) | | 5(4x-7)-5=5(x-4)+85 | | 4x^2-20x+13=0 | | -(5y+4)-(-4y-5)=-7 | | -18x+2=-7x+2 | | r^2+9r-110=0 | | 16x^2-64x+62=0 | | 4x^2+24x=-20 | | -14=-7+y | | 4a^2+4a-15= | | 16(2x-8)=4(8x+2) | | 7-9x-5-3x=5 | | 6(x+2)=3x+48 | | 9+12m-3=4m+66-2m | | x(x+6)-88=0 | | 2x-4=-2x+8 | | -3x+6=42 |

Equations solver categories