5x^2-13X+12=(2x-3)*sqrt(3x^3-7x+10)

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Solution for 5x^2-13X+12=(2x-3)*sqrt(3x^3-7x+10) equation:


Simplifying
5x2 + -13X + 12 = (2x + -3) * sqrt(3x3 + -7x + 10)

Reorder the terms:
12 + -13X + 5x2 = (2x + -3) * sqrt(3x3 + -7x + 10)

Reorder the terms:
12 + -13X + 5x2 = (-3 + 2x) * sqrt(3x3 + -7x + 10)

Reorder the terms:
12 + -13X + 5x2 = (-3 + 2x) * qrst(10 + -7x + 3x3)

Reorder the terms for easier multiplication:
12 + -13X + 5x2 = qrst(-3 + 2x)(10 + -7x + 3x3)

Multiply (-3 + 2x) * (10 + -7x + 3x3)
12 + -13X + 5x2 = qrst(-3(10 + -7x + 3x3) + 2x * (10 + -7x + 3x3))
12 + -13X + 5x2 = qrst((10 * -3 + -7x * -3 + 3x3 * -3) + 2x * (10 + -7x + 3x3))
12 + -13X + 5x2 = qrst((-30 + 21x + -9x3) + 2x * (10 + -7x + 3x3))
12 + -13X + 5x2 = qrst(-30 + 21x + -9x3 + (10 * 2x + -7x * 2x + 3x3 * 2x))
12 + -13X + 5x2 = qrst(-30 + 21x + -9x3 + (20x + -14x2 + 6x4))

Reorder the terms:
12 + -13X + 5x2 = qrst(-30 + 21x + 20x + -14x2 + -9x3 + 6x4)

Combine like terms: 21x + 20x = 41x
12 + -13X + 5x2 = qrst(-30 + 41x + -14x2 + -9x3 + 6x4)
12 + -13X + 5x2 = (-30 * qrst + 41x * qrst + -14x2 * qrst + -9x3 * qrst + 6x4 * qrst)
12 + -13X + 5x2 = (-30qrst + 41qrstx + -14qrstx2 + -9qrstx3 + 6qrstx4)

Solving
12 + -13X + 5x2 = -30qrst + 41qrstx + -14qrstx2 + -9qrstx3 + 6qrstx4

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + -13X + -12 + 5x2 = -30qrst + 41qrstx + -14qrstx2 + -9qrstx3 + -12 + 6qrstx4

Reorder the terms:
12 + -12 + -13X + 5x2 = -30qrst + 41qrstx + -14qrstx2 + -9qrstx3 + -12 + 6qrstx4

Combine like terms: 12 + -12 = 0
0 + -13X + 5x2 = -30qrst + 41qrstx + -14qrstx2 + -9qrstx3 + -12 + 6qrstx4
-13X + 5x2 = -30qrst + 41qrstx + -14qrstx2 + -9qrstx3 + -12 + 6qrstx4

Reorder the terms:
-13X + 5x2 = -12 + -30qrst + 41qrstx + -14qrstx2 + -9qrstx3 + 6qrstx4

Add '-5x2' to each side of the equation.
-13X + 5x2 + -5x2 = -12 + -30qrst + 41qrstx + -14qrstx2 + -9qrstx3 + 6qrstx4 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-13X + 0 = -12 + -30qrst + 41qrstx + -14qrstx2 + -9qrstx3 + 6qrstx4 + -5x2
-13X = -12 + -30qrst + 41qrstx + -14qrstx2 + -9qrstx3 + 6qrstx4 + -5x2

Divide each side by '-13'.
X = 0.9230769231 + 2.307692308qrst + -3.153846154qrstx + 1.076923077qrstx2 + 0.6923076923qrstx3 + -0.4615384615qrstx4 + 0.3846153846x2

Simplifying
X = 0.9230769231 + 2.307692308qrst + -3.153846154qrstx + 1.076923077qrstx2 + 0.6923076923qrstx3 + -0.4615384615qrstx4 + 0.3846153846x2

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