(7x-4)(8x-3)=56x^2-37x+4

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Solution for (7x-4)(8x-3)=56x^2-37x+4 equation: 


Simplifying
(7x + -4)(8x + -3) = 56x2 + -37x + 4

Reorder the terms:
(-4 + 7x)(8x + -3) = 56x2 + -37x + 4

Reorder the terms:
(-4 + 7x)(-3 + 8x) = 56x2 + -37x + 4

Multiply (-4 + 7x) * (-3 + 8x)
(-4(-3 + 8x) + 7x * (-3 + 8x)) = 56x2 + -37x + 4
((-3 * -4 + 8x * -4) + 7x * (-3 + 8x)) = 56x2 + -37x + 4
((12 + -32x) + 7x * (-3 + 8x)) = 56x2 + -37x + 4
(12 + -32x + (-3 * 7x + 8x * 7x)) = 56x2 + -37x + 4
(12 + -32x + (-21x + 56x2)) = 56x2 + -37x + 4

Combine like terms: -32x + -21x = -53x
(12 + -53x + 56x2) = 56x2 + -37x + 4

Reorder the terms:
12 + -53x + 56x2 = 4 + -37x + 56x2

Add '-56x2' to each side of the equation.
12 + -53x + 56x2 + -56x2 = 4 + -37x + 56x2 + -56x2

Combine like terms: 56x2 + -56x2 = 0
12 + -53x + 0 = 4 + -37x + 56x2 + -56x2
12 + -53x = 4 + -37x + 56x2 + -56x2

Combine like terms: 56x2 + -56x2 = 0
12 + -53x = 4 + -37x + 0
12 + -53x = 4 + -37x

Solving
12 + -53x = 4 + -37x

Solving for variable 'x'.

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

Add '37x' to each side of the equation.
12 + -53x + 37x = 4 + -37x + 37x

Combine like terms: -53x + 37x = -16x
12 + -16x = 4 + -37x + 37x

Combine like terms: -37x + 37x = 0
12 + -16x = 4 + 0
12 + -16x = 4

Add '-12' to each side of the equation.
12 + -12 + -16x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -16x = 4 + -12
-16x = 4 + -12

Combine like terms: 4 + -12 = -8
-16x = -8

Divide each side by '-16'.
x = 0.5

Simplifying
x = 0.5

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