=(2x^2+5x-3)(2x+1)

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Solution for =(2x^2+5x-3)(2x+1) equation: 


Simplifying
0 = (2x2 + 5x + -3)(2x + 1)

Reorder the terms:
0 = (-3 + 5x + 2x2)(2x + 1)

Reorder the terms:
0 = (-3 + 5x + 2x2)(1 + 2x)

Multiply (-3 + 5x + 2x2) * (1 + 2x)
0 = (-3(1 + 2x) + 5x * (1 + 2x) + 2x2 * (1 + 2x))
0 = ((1 * -3 + 2x * -3) + 5x * (1 + 2x) + 2x2 * (1 + 2x))
0 = ((-3 + -6x) + 5x * (1 + 2x) + 2x2 * (1 + 2x))
0 = (-3 + -6x + (1 * 5x + 2x * 5x) + 2x2 * (1 + 2x))
0 = (-3 + -6x + (5x + 10x2) + 2x2 * (1 + 2x))
0 = (-3 + -6x + 5x + 10x2 + (1 * 2x2 + 2x * 2x2))
0 = (-3 + -6x + 5x + 10x2 + (2x2 + 4x3))

Combine like terms: -6x + 5x = -1x
0 = (-3 + -1x + 10x2 + 2x2 + 4x3)

Combine like terms: 10x2 + 2x2 = 12x2
0 = (-3 + -1x + 12x2 + 4x3)

Solving
0 = -3 + -1x + 12x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + 3 = 3
3 + x + -12x2 + -4x3 = -3 + -1x + 12x2 + 4x3 + 3 + x + -12x2 + -4x3

Reorder the terms:
3 + x + -12x2 + -4x3 = -3 + 3 + -1x + x + 12x2 + -12x2 + 4x3 + -4x3

Combine like terms: -3 + 3 = 0
3 + x + -12x2 + -4x3 = 0 + -1x + x + 12x2 + -12x2 + 4x3 + -4x3
3 + x + -12x2 + -4x3 = -1x + x + 12x2 + -12x2 + 4x3 + -4x3

Combine like terms: -1x + x = 0
3 + x + -12x2 + -4x3 = 0 + 12x2 + -12x2 + 4x3 + -4x3
3 + x + -12x2 + -4x3 = 12x2 + -12x2 + 4x3 + -4x3

Combine like terms: 12x2 + -12x2 = 0
3 + x + -12x2 + -4x3 = 0 + 4x3 + -4x3
3 + x + -12x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
3 + x + -12x2 + -4x3 = 0

The solution to this equation could not be determined.

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