5(4x^2-8x+7)=0

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Solution for 5(4x^2-8x+7)=0 equation: 


Simplifying
5(4x2 + -8x + 7) = 0

Reorder the terms:
5(7 + -8x + 4x2) = 0
(7 * 5 + -8x * 5 + 4x2 * 5) = 0
(35 + -40x + 20x2) = 0

Solving
35 + -40x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(7 + -8x + 4x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(7 + -8x + 4x2)' equal to zero and attempt to solve:

Simplifying
7 + -8x + 4x2 = 0

Solving
7 + -8x + 4x2 = 0

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

Divide each side by '4'.
1.75 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -2x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -2x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -2x + x2 = 0 + -1.75
-2x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-2x + x2 = -1.75

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.75 + 1

Reorder the terms:
1 + -2x + x2 = -1.75 + 1

Combine like terms: -1.75 + 1 = -0.75
1 + -2x + x2 = -0.75

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.75

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.

The solution to this equation could not be determined.

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