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

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


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

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

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

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-9 + 7x + -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 '(-9 + 7x + -4x2)' equal to zero and attempt to solve:

Simplifying
-9 + 7x + -4x2 = 0

Solving
-9 + 7x + -4x2 = 0

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

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

Move the constant term to the right:

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

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

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

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

The x term is -1.75x.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75x + 0.765625 + x2 = -2.25 + 0.765625

Reorder the terms:
0.765625 + -1.75x + x2 = -2.25 + 0.765625

Combine like terms: -2.25 + 0.765625 = -1.484375
0.765625 + -1.75x + x2 = -1.484375

Factor a perfect square on the left side:
(x + -0.875)(x + -0.875) = -1.484375

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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