2x^2+5x-12=(ax-b)(cx+d)

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Solution for 2x^2+5x-12=(ax-b)(cx+d) equation:


Simplifying
2x2 + 5x + -12 = (ax + -1b)(cx + d)

Reorder the terms:
-12 + 5x + 2x2 = (ax + -1b)(cx + d)

Multiply (ax + -1b) * (cx + d)
-12 + 5x + 2x2 = (ax(cx + d) + -1b * (cx + d))
-12 + 5x + 2x2 = ((cx * ax + d * ax) + -1b * (cx + d))
-12 + 5x + 2x2 = ((acx2 + adx) + -1b * (cx + d))
-12 + 5x + 2x2 = (acx2 + adx + (cx * -1b + d * -1b))
-12 + 5x + 2x2 = (acx2 + adx + (-1bcx + -1bd))
-12 + 5x + 2x2 = (acx2 + adx + -1bcx + -1bd)

Solving
-12 + 5x + 2x2 = acx2 + adx + -1bcx + -1bd

Solving for variable 'x'.

Reorder the terms:
-12 + -1acx2 + -1adx + bcx + bd + 5x + 2x2 = acx2 + adx + -1bcx + -1bd + -1acx2 + -1adx + bcx + bd

Reorder the terms:
-12 + -1acx2 + -1adx + bcx + bd + 5x + 2x2 = acx2 + -1acx2 + adx + -1adx + -1bcx + bcx + -1bd + bd

Combine like terms: acx2 + -1acx2 = 0
-12 + -1acx2 + -1adx + bcx + bd + 5x + 2x2 = 0 + adx + -1adx + -1bcx + bcx + -1bd + bd
-12 + -1acx2 + -1adx + bcx + bd + 5x + 2x2 = adx + -1adx + -1bcx + bcx + -1bd + bd

Combine like terms: adx + -1adx = 0
-12 + -1acx2 + -1adx + bcx + bd + 5x + 2x2 = 0 + -1bcx + bcx + -1bd + bd
-12 + -1acx2 + -1adx + bcx + bd + 5x + 2x2 = -1bcx + bcx + -1bd + bd

Combine like terms: -1bcx + bcx = 0
-12 + -1acx2 + -1adx + bcx + bd + 5x + 2x2 = 0 + -1bd + bd
-12 + -1acx2 + -1adx + bcx + bd + 5x + 2x2 = -1bd + bd

Combine like terms: -1bd + bd = 0
-12 + -1acx2 + -1adx + bcx + bd + 5x + 2x2 = 0

The solution to this equation could not be determined.

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