(5x-9)(5x-9)-(3x-2)(3x-2)=(7-4x)(7-4x)-(7+4x)(7+4x)-8x(4-2x)+6(x+13)

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Solution for (5x-9)(5x-9)-(3x-2)(3x-2)=(7-4x)(7-4x)-(7+4x)(7+4x)-8x(4-2x)+6(x+13) equation:


Simplifying
(5x + -9)(5x + -9) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Reorder the terms:
(-9 + 5x)(5x + -9) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Reorder the terms:
(-9 + 5x)(-9 + 5x) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Multiply (-9 + 5x) * (-9 + 5x)
(-9(-9 + 5x) + 5x * (-9 + 5x)) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
((-9 * -9 + 5x * -9) + 5x * (-9 + 5x)) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
((81 + -45x) + 5x * (-9 + 5x)) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
(81 + -45x + (-9 * 5x + 5x * 5x)) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
(81 + -45x + (-45x + 25x2)) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Combine like terms: -45x + -45x = -90x
(81 + -90x + 25x2) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Reorder the terms:
81 + -90x + 25x2 + -1(-2 + 3x)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Reorder the terms:
81 + -90x + 25x2 + -1(-2 + 3x)(-2 + 3x) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Multiply (-2 + 3x) * (-2 + 3x)
81 + -90x + 25x2 + -1(-2(-2 + 3x) + 3x * (-2 + 3x)) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
81 + -90x + 25x2 + -1((-2 * -2 + 3x * -2) + 3x * (-2 + 3x)) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
81 + -90x + 25x2 + -1((4 + -6x) + 3x * (-2 + 3x)) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
81 + -90x + 25x2 + -1(4 + -6x + (-2 * 3x + 3x * 3x)) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
81 + -90x + 25x2 + -1(4 + -6x + (-6x + 9x2)) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Combine like terms: -6x + -6x = -12x
81 + -90x + 25x2 + -1(4 + -12x + 9x2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
81 + -90x + 25x2 + (4 * -1 + -12x * -1 + 9x2 * -1) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
81 + -90x + 25x2 + (-4 + 12x + -9x2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Reorder the terms:
81 + -4 + -90x + 12x + 25x2 + -9x2 = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Combine like terms: 81 + -4 = 77
77 + -90x + 12x + 25x2 + -9x2 = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Combine like terms: -90x + 12x = -78x
77 + -78x + 25x2 + -9x2 = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Combine like terms: 25x2 + -9x2 = 16x2
77 + -78x + 16x2 = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Multiply (7 + -4x) * (7 + -4x)
77 + -78x + 16x2 = (7(7 + -4x) + -4x * (7 + -4x)) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = ((7 * 7 + -4x * 7) + -4x * (7 + -4x)) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = ((49 + -28x) + -4x * (7 + -4x)) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = (49 + -28x + (7 * -4x + -4x * -4x)) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = (49 + -28x + (-28x + 16x2)) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Combine like terms: -28x + -28x = -56x
77 + -78x + 16x2 = (49 + -56x + 16x2) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13)

Multiply (7 + 4x) * (7 + 4x)
77 + -78x + 16x2 = 49 + -56x + 16x2 + -1(7(7 + 4x) + 4x * (7 + 4x)) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = 49 + -56x + 16x2 + -1((7 * 7 + 4x * 7) + 4x * (7 + 4x)) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = 49 + -56x + 16x2 + -1((49 + 28x) + 4x * (7 + 4x)) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = 49 + -56x + 16x2 + -1(49 + 28x + (7 * 4x + 4x * 4x)) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = 49 + -56x + 16x2 + -1(49 + 28x + (28x + 16x2)) + -8x(4 + -2x) + 6(x + 13)

Combine like terms: 28x + 28x = 56x
77 + -78x + 16x2 = 49 + -56x + 16x2 + -1(49 + 56x + 16x2) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = 49 + -56x + 16x2 + (49 * -1 + 56x * -1 + 16x2 * -1) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = 49 + -56x + 16x2 + (-49 + -56x + -16x2) + -8x(4 + -2x) + 6(x + 13)
77 + -78x + 16x2 = 49 + -56x + 16x2 + -49 + -56x + -16x2 + (4 * -8x + -2x * -8x) + 6(x + 13)
77 + -78x + 16x2 = 49 + -56x + 16x2 + -49 + -56x + -16x2 + (-32x + 16x2) + 6(x + 13)

Reorder the terms:
77 + -78x + 16x2 = 49 + -56x + 16x2 + -49 + -56x + -16x2 + -32x + 16x2 + 6(13 + x)
77 + -78x + 16x2 = 49 + -56x + 16x2 + -49 + -56x + -16x2 + -32x + 16x2 + (13 * 6 + x * 6)
77 + -78x + 16x2 = 49 + -56x + 16x2 + -49 + -56x + -16x2 + -32x + 16x2 + (78 + 6x)

Reorder the terms:
77 + -78x + 16x2 = 49 + -49 + 78 + -56x + -56x + -32x + 6x + 16x2 + -16x2 + 16x2

Combine like terms: 49 + -49 = 0
77 + -78x + 16x2 = 0 + 78 + -56x + -56x + -32x + 6x + 16x2 + -16x2 + 16x2
77 + -78x + 16x2 = 78 + -56x + -56x + -32x + 6x + 16x2 + -16x2 + 16x2

Combine like terms: -56x + -56x = -112x
77 + -78x + 16x2 = 78 + -112x + -32x + 6x + 16x2 + -16x2 + 16x2

Combine like terms: -112x + -32x = -144x
77 + -78x + 16x2 = 78 + -144x + 6x + 16x2 + -16x2 + 16x2

Combine like terms: -144x + 6x = -138x
77 + -78x + 16x2 = 78 + -138x + 16x2 + -16x2 + 16x2

Combine like terms: 16x2 + -16x2 = 0
77 + -78x + 16x2 = 78 + -138x + 0 + 16x2
77 + -78x + 16x2 = 78 + -138x + 16x2

Add '-16x2' to each side of the equation.
77 + -78x + 16x2 + -16x2 = 78 + -138x + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
77 + -78x + 0 = 78 + -138x + 16x2 + -16x2
77 + -78x = 78 + -138x + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
77 + -78x = 78 + -138x + 0
77 + -78x = 78 + -138x

Solving
77 + -78x = 78 + -138x

Solving for variable 'x'.

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

Add '138x' to each side of the equation.
77 + -78x + 138x = 78 + -138x + 138x

Combine like terms: -78x + 138x = 60x
77 + 60x = 78 + -138x + 138x

Combine like terms: -138x + 138x = 0
77 + 60x = 78 + 0
77 + 60x = 78

Add '-77' to each side of the equation.
77 + -77 + 60x = 78 + -77

Combine like terms: 77 + -77 = 0
0 + 60x = 78 + -77
60x = 78 + -77

Combine like terms: 78 + -77 = 1
60x = 1

Divide each side by '60'.
x = 0.01666666667

Simplifying
x = 0.01666666667

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