(4x-2)(x-9)=0

Simple and best practice solution for (4x-2)(x-9)=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-2)(x-9)=0 equation:


Simplifying
(4x + -2)(x + -9) = 0

Reorder the terms:
(-2 + 4x)(x + -9) = 0

Reorder the terms:
(-2 + 4x)(-9 + x) = 0

Multiply (-2 + 4x) * (-9 + x)
(-2(-9 + x) + 4x * (-9 + x)) = 0
((-9 * -2 + x * -2) + 4x * (-9 + x)) = 0
((18 + -2x) + 4x * (-9 + x)) = 0
(18 + -2x + (-9 * 4x + x * 4x)) = 0
(18 + -2x + (-36x + 4x2)) = 0

Combine like terms: -2x + -36x = -38x
(18 + -38x + 4x2) = 0

Solving
18 + -38x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -19x + 2x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

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 = {0.5, 9}

See similar equations:

| 4(c+1)=5+3c | | x+2x=23 | | 0=5y-9 | | 15x-12(0)=12 | | 4x-5(3x-9)=-87 | | y=6(0.5x-4) | | 0=-2v-10 | | w+5=11 | | 5x+6(2x-13)=75 | | -[4x+(6x+9)]=3-(5x+8) | | 4x+3=1(x-1) | | y=.06x+(-0.18+5) | | -7=b-[-7] | | 6x+4(-2x-8)=-18 | | 15(0)-12(0)=12 | | -8+(-5)+17= | | 2n-8=8n+12 | | -8y+2=0 | | 83-7x=20x+17 | | 9x+27=56 | | 5(y+3)-7y=29 | | -2x-4(-6x+12)=172 | | 8x+7-7x=10 | | 42+66=180 | | -7y+28=0 | | 9*4y= | | 2(x-6)=6x-5(x-8) | | 4x+6(-3x-7)=-112 | | 11w+9=6w+9+5w | | -(t+4)=-3t | | 9=5w-1 | | 5(-8x+8)= |

Equations solver categories