5x(4x^2-9x+7)=

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Solution for 5x(4x^2-9x+7)= equation: 


Simplifying
5x(4x2 + -9x + 7) = 0

Reorder the terms:
5x(7 + -9x + 4x2) = 0
(7 * 5x + -9x * 5x + 4x2 * 5x) = 0
(35x + -45x2 + 20x3) = 0

Solving
35x + -45x2 + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(7 + -9x + 4x2) = 0

Ignore the factor 5.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + -9x + 4x2)' equal to zero and attempt to solve:

Simplifying
7 + -9x + 4x2 = 0

Solving
7 + -9x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
1.75 + -2.25x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -2.25x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -2.25x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -2.25x + x2 = 0 + -1.75
-2.25x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-2.25x + x2 = -1.75

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = -1.75 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -1.75 + 1.265625

Combine like terms: -1.75 + 1.265625 = -0.484375
1.265625 + -2.25x + x2 = -0.484375

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = -0.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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