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

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


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

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

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

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

Combine like terms: -9x + 7x = -2x
4(-63 + -2x + x2) = 0
(-63 * 4 + -2x * 4 + x2 * 4) = 0
(-252 + -8x + 4x2) = 0

Solving
-252 + -8x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-63 + -2x + x2) = 0

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

Ignore the factor 4.

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 '(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 = {-7, 9}

See similar equations:

| -4x+10=-7x+x | | (x-5)(4x-5)=40 | | 126.53=2.55h+72.98 | | 1+4b=5+4b | | 8x^2+15x+11=0 | | 9t=4t+10 | | 5n+4n-7=8 | | -9u-30=-6(u+1) | | -(Y-7)=12 | | 6(-3.5)+-10+(-3.5)-2=9(-3.5)+2 | | 4r+11+5r=104 | | .333(2x+8)=12 | | 2x=-86 | | -21-6x=X-7(3+X) | | 32x^2+56x-12=0 | | 8(3x-2)=13+2(4-x) | | 8x+4=11x+17 | | 6-7x=5x-8x-22 | | 3*83= | | 32=-7y+5(y+4) | | 8v-2v+3=-18 | | 4(1+b)=b+4 | | 2x+8=436 | | 9x-2-5x=x+8+x | | 6(-3.5)-10+9(3.5)-2=9x+2 | | -40=17p+5-8p | | -8m-45+-27m=12 | | X(3+y)-2(x+8y)= | | 3x-18=-6x+3(1-4x) | | -8(2x-5)=152 | | 4(-5x+3)+4x-5=2 | | 9y+18=6y-3 |

Equations solver categories