(x-4)(2x+5)=2x^2-4(4x+24)-1

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Solution for (x-4)(2x+5)=2x^2-4(4x+24)-1 equation: 


Simplifying
(x + -4)(2x + 5) = 2x2 + -4(4x + 24) + -1

Reorder the terms:
(-4 + x)(2x + 5) = 2x2 + -4(4x + 24) + -1

Reorder the terms:
(-4 + x)(5 + 2x) = 2x2 + -4(4x + 24) + -1

Multiply (-4 + x) * (5 + 2x)
(-4(5 + 2x) + x(5 + 2x)) = 2x2 + -4(4x + 24) + -1
((5 * -4 + 2x * -4) + x(5 + 2x)) = 2x2 + -4(4x + 24) + -1
((-20 + -8x) + x(5 + 2x)) = 2x2 + -4(4x + 24) + -1
(-20 + -8x + (5 * x + 2x * x)) = 2x2 + -4(4x + 24) + -1
(-20 + -8x + (5x + 2x2)) = 2x2 + -4(4x + 24) + -1

Combine like terms: -8x + 5x = -3x
(-20 + -3x + 2x2) = 2x2 + -4(4x + 24) + -1

Reorder the terms:
-20 + -3x + 2x2 = 2x2 + -4(24 + 4x) + -1
-20 + -3x + 2x2 = 2x2 + (24 * -4 + 4x * -4) + -1
-20 + -3x + 2x2 = 2x2 + (-96 + -16x) + -1

Reorder the terms:
-20 + -3x + 2x2 = -96 + -1 + -16x + 2x2

Combine like terms: -96 + -1 = -97
-20 + -3x + 2x2 = -97 + -16x + 2x2

Add '-2x2' to each side of the equation.
-20 + -3x + 2x2 + -2x2 = -97 + -16x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-20 + -3x + 0 = -97 + -16x + 2x2 + -2x2
-20 + -3x = -97 + -16x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-20 + -3x = -97 + -16x + 0
-20 + -3x = -97 + -16x

Solving
-20 + -3x = -97 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-20 + -3x + 16x = -97 + -16x + 16x

Combine like terms: -3x + 16x = 13x
-20 + 13x = -97 + -16x + 16x

Combine like terms: -16x + 16x = 0
-20 + 13x = -97 + 0
-20 + 13x = -97

Add '20' to each side of the equation.
-20 + 20 + 13x = -97 + 20

Combine like terms: -20 + 20 = 0
0 + 13x = -97 + 20
13x = -97 + 20

Combine like terms: -97 + 20 = -77
13x = -77

Divide each side by '13'.
x = -5.923076923

Simplifying
x = -5.923076923

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