solve(2x-1)(4x+3)+7=-5(x^2-8)

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Solution for solve(2x-1)(4x+3)+7=-5(x^2-8) equation:


Simplifying
solve(2x + -1)(4x + 3) + 7 = -5(x2 + -8)

Reorder the terms:
elosv(-1 + 2x)(4x + 3) + 7 = -5(x2 + -8)

Reorder the terms:
elosv(-1 + 2x)(3 + 4x) + 7 = -5(x2 + -8)

Multiply (-1 + 2x) * (3 + 4x)
elosv(-1(3 + 4x) + 2x * (3 + 4x)) + 7 = -5(x2 + -8)
elosv((3 * -1 + 4x * -1) + 2x * (3 + 4x)) + 7 = -5(x2 + -8)
elosv((-3 + -4x) + 2x * (3 + 4x)) + 7 = -5(x2 + -8)
elosv(-3 + -4x + (3 * 2x + 4x * 2x)) + 7 = -5(x2 + -8)
elosv(-3 + -4x + (6x + 8x2)) + 7 = -5(x2 + -8)

Combine like terms: -4x + 6x = 2x
elosv(-3 + 2x + 8x2) + 7 = -5(x2 + -8)
(-3 * elosv + 2x * elosv + 8x2 * elosv) + 7 = -5(x2 + -8)
(-3elosv + 2elosvx + 8elosvx2) + 7 = -5(x2 + -8)

Reorder the terms:
7 + -3elosv + 2elosvx + 8elosvx2 = -5(x2 + -8)

Reorder the terms:
7 + -3elosv + 2elosvx + 8elosvx2 = -5(-8 + x2)
7 + -3elosv + 2elosvx + 8elosvx2 = (-8 * -5 + x2 * -5)
7 + -3elosv + 2elosvx + 8elosvx2 = (40 + -5x2)

Solving
7 + -3elosv + 2elosvx + 8elosvx2 = 40 + -5x2

Solving for variable 'e'.

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

Add '-7' to each side of the equation.
7 + -3elosv + 2elosvx + -7 + 8elosvx2 = 40 + -7 + -5x2

Reorder the terms:
7 + -7 + -3elosv + 2elosvx + 8elosvx2 = 40 + -7 + -5x2

Combine like terms: 7 + -7 = 0
0 + -3elosv + 2elosvx + 8elosvx2 = 40 + -7 + -5x2
-3elosv + 2elosvx + 8elosvx2 = 40 + -7 + -5x2

Combine like terms: 40 + -7 = 33
-3elosv + 2elosvx + 8elosvx2 = 33 + -5x2

Reorder the terms:
-33 + -3elosv + 2elosvx + 8elosvx2 + 5x2 = 33 + -5x2 + -33 + 5x2

Reorder the terms:
-33 + -3elosv + 2elosvx + 8elosvx2 + 5x2 = 33 + -33 + -5x2 + 5x2

Combine like terms: 33 + -33 = 0
-33 + -3elosv + 2elosvx + 8elosvx2 + 5x2 = 0 + -5x2 + 5x2
-33 + -3elosv + 2elosvx + 8elosvx2 + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-33 + -3elosv + 2elosvx + 8elosvx2 + 5x2 = 0

The solution to this equation could not be determined.

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