(4x-9)(x-7)=0

Simple and best practice solution for (4x-9)(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 (4x-9)(x-7)=0 equation: 


Simplifying
(4x + -9)(x + -7) = 0

Reorder the terms:
(-9 + 4x)(x + -7) = 0

Reorder the terms:
(-9 + 4x)(-7 + x) = 0

Multiply (-9 + 4x) * (-7 + x)
(-9(-7 + x) + 4x * (-7 + x)) = 0
((-7 * -9 + x * -9) + 4x * (-7 + x)) = 0
((63 + -9x) + 4x * (-7 + x)) = 0
(63 + -9x + (-7 * 4x + x * 4x)) = 0
(63 + -9x + (-28x + 4x2)) = 0

Combine like terms: -9x + -28x = -37x
(63 + -37x + 4x2) = 0

Solving
63 + -37x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -4x)(7 + -1x) = 0


Subproblem 1
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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 = {2.25, 7}

See similar equations:

| -4(2x+3)=6x-5 | | -1(x+3)=7 | | x=x-6 | | -15-9x=21-6x | | 7x^3-8x^2-12x=0 | | -3+v/5=0 | | (X+4y-9)-(2x-7y+12)= | | .1w=.2(w+2) | | 8x=2(x-9) | | 1w=.2(w+2) | | 3x^2=-11x-6 | | 4x+3=-5x-6 | | 6w+7=19 | | 4x+3(2x-7)=15x+13 | | 4(y+1)-y=3(y-1)+3 | | 3/13+5/13= | | -2n^2+64=-3n^2+16n | | 12-6x=11-5x | | 12x+1+x+10=180 | | 5z=8 | | 5x^2=-x | | 9-5x=4x-9 | | 2r^2+4r-4=-6 | | x+(-12)=-19 | | 3s^2+12=12s | | 6x+5=8x-5 | | 4b-4-6b-3= | | 2/3(x)+12=18 | | 3n^2=12n+96 | | 4n^2+144=48n | | -24+8k=-40k-24 | | 3x(9x^2+8)= |

Equations solver categories