4(2x-3)-3(5x+4)=7x(5x-4)

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Solution for 4(2x-3)-3(5x+4)=7x(5x-4) equation: 


Simplifying
4(2x + -3) + -3(5x + 4) = 7x(5x + -4)

Reorder the terms:
4(-3 + 2x) + -3(5x + 4) = 7x(5x + -4)
(-3 * 4 + 2x * 4) + -3(5x + 4) = 7x(5x + -4)
(-12 + 8x) + -3(5x + 4) = 7x(5x + -4)

Reorder the terms:
-12 + 8x + -3(4 + 5x) = 7x(5x + -4)
-12 + 8x + (4 * -3 + 5x * -3) = 7x(5x + -4)
-12 + 8x + (-12 + -15x) = 7x(5x + -4)

Reorder the terms:
-12 + -12 + 8x + -15x = 7x(5x + -4)

Combine like terms: -12 + -12 = -24
-24 + 8x + -15x = 7x(5x + -4)

Combine like terms: 8x + -15x = -7x
-24 + -7x = 7x(5x + -4)

Reorder the terms:
-24 + -7x = 7x(-4 + 5x)
-24 + -7x = (-4 * 7x + 5x * 7x)
-24 + -7x = (-28x + 35x2)

Solving
-24 + -7x = -28x + 35x2

Solving for variable 'x'.

Combine like terms: -7x + 28x = 21x
-24 + 21x + -35x2 = -28x + 35x2 + 28x + -35x2

Reorder the terms:
-24 + 21x + -35x2 = -28x + 28x + 35x2 + -35x2

Combine like terms: -28x + 28x = 0
-24 + 21x + -35x2 = 0 + 35x2 + -35x2
-24 + 21x + -35x2 = 35x2 + -35x2

Combine like terms: 35x2 + -35x2 = 0
-24 + 21x + -35x2 = 0

Begin completing the square.  Divide all terms by
-35 the coefficient of the squared term: 

Divide each side by '-35'.
0.6857142857 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-0.6857142857' to each side of the equation.
0.6857142857 + -0.6x + -0.6857142857 + x2 = 0 + -0.6857142857

Reorder the terms:
0.6857142857 + -0.6857142857 + -0.6x + x2 = 0 + -0.6857142857

Combine like terms: 0.6857142857 + -0.6857142857 = 0.0000000000
0.0000000000 + -0.6x + x2 = 0 + -0.6857142857
-0.6x + x2 = 0 + -0.6857142857

Combine like terms: 0 + -0.6857142857 = -0.6857142857
-0.6x + x2 = -0.6857142857

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -0.6857142857 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -0.6857142857 + 0.09

Combine like terms: -0.6857142857 + 0.09 = -0.5957142857
0.09 + -0.6x + x2 = -0.5957142857

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.5957142857

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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