4x^2(9x+1)(x-7)=

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Solution for 4x^2(9x+1)(x-7)= equation: 


Simplifying
4x2(9x + 1)(x + -7) = 0

Reorder the terms:
4x2(1 + 9x)(x + -7) = 0

Reorder the terms:
4x2(1 + 9x)(-7 + x) = 0

Multiply (1 + 9x) * (-7 + x)
4x2(1(-7 + x) + 9x * (-7 + x)) = 0
4x2((-7 * 1 + x * 1) + 9x * (-7 + x)) = 0
4x2((-7 + 1x) + 9x * (-7 + x)) = 0
4x2(-7 + 1x + (-7 * 9x + x * 9x)) = 0
4x2(-7 + 1x + (-63x + 9x2)) = 0

Combine like terms: 1x + -63x = -62x
4x2(-7 + -62x + 9x2) = 0
(-7 * 4x2 + -62x * 4x2 + 9x2 * 4x2) = 0
(-28x2 + -248x3 + 36x4) = 0

Solving
-28x2 + -248x3 + 36x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-7 + -62x + 9x2) = 0

Factor a trinomial.
4x2((-1 + -9x)(7 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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

Simplifying
-1 + -9x = 0

Solving
-1 + -9x = 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 + -9x = 0 + 1

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

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

Divide each side by '-9'.
x = -0.1111111111

Simplifying
x = -0.1111111111

Subproblem 3
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 = {0, -0.1111111111, 7}

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