=(2x^2+5x-4)(2x+7)

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Solution for =(2x^2+5x-4)(2x+7) equation: 


Simplifying
0 = (2x2 + 5x + -4)(2x + 7)

Reorder the terms:
0 = (-4 + 5x + 2x2)(2x + 7)

Reorder the terms:
0 = (-4 + 5x + 2x2)(7 + 2x)

Multiply (-4 + 5x + 2x2) * (7 + 2x)
0 = (-4(7 + 2x) + 5x * (7 + 2x) + 2x2 * (7 + 2x))
0 = ((7 * -4 + 2x * -4) + 5x * (7 + 2x) + 2x2 * (7 + 2x))
0 = ((-28 + -8x) + 5x * (7 + 2x) + 2x2 * (7 + 2x))
0 = (-28 + -8x + (7 * 5x + 2x * 5x) + 2x2 * (7 + 2x))
0 = (-28 + -8x + (35x + 10x2) + 2x2 * (7 + 2x))
0 = (-28 + -8x + 35x + 10x2 + (7 * 2x2 + 2x * 2x2))
0 = (-28 + -8x + 35x + 10x2 + (14x2 + 4x3))

Combine like terms: -8x + 35x = 27x
0 = (-28 + 27x + 10x2 + 14x2 + 4x3)

Combine like terms: 10x2 + 14x2 = 24x2
0 = (-28 + 27x + 24x2 + 4x3)

Solving
0 = -28 + 27x + 24x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + 28 = 28
28 + -27x + -24x2 + -4x3 = -28 + 27x + 24x2 + 4x3 + 28 + -27x + -24x2 + -4x3

Reorder the terms:
28 + -27x + -24x2 + -4x3 = -28 + 28 + 27x + -27x + 24x2 + -24x2 + 4x3 + -4x3

Combine like terms: -28 + 28 = 0
28 + -27x + -24x2 + -4x3 = 0 + 27x + -27x + 24x2 + -24x2 + 4x3 + -4x3
28 + -27x + -24x2 + -4x3 = 27x + -27x + 24x2 + -24x2 + 4x3 + -4x3

Combine like terms: 27x + -27x = 0
28 + -27x + -24x2 + -4x3 = 0 + 24x2 + -24x2 + 4x3 + -4x3
28 + -27x + -24x2 + -4x3 = 24x2 + -24x2 + 4x3 + -4x3

Combine like terms: 24x2 + -24x2 = 0
28 + -27x + -24x2 + -4x3 = 0 + 4x3 + -4x3
28 + -27x + -24x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
28 + -27x + -24x2 + -4x3 = 0

The solution to this equation could not be determined.

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