x(2x-1)=2xsquared+5x-12

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Solution for x(2x-1)=2xsquared+5x-12 equation:


Simplifying
x(2x + -1) = 2xsquared + 5x + -12

Reorder the terms:
x(-1 + 2x) = 2xsquared + 5x + -12
(-1 * x + 2x * x) = 2xsquared + 5x + -12
(-1x + 2x2) = 2xsquared + 5x + -12

Reorder the terms:
-1x + 2x2 = -12 + 2adeqrsux + 5x

Solving
-1x + 2x2 = -12 + 2adeqrsux + 5x

Solving for variable 'x'.

Reorder the terms:
12 + -2adeqrsux + -1x + -5x + 2x2 = -12 + 2adeqrsux + 5x + 12 + -2adeqrsux + -5x

Combine like terms: -1x + -5x = -6x
12 + -2adeqrsux + -6x + 2x2 = -12 + 2adeqrsux + 5x + 12 + -2adeqrsux + -5x

Reorder the terms:
12 + -2adeqrsux + -6x + 2x2 = -12 + 12 + 2adeqrsux + -2adeqrsux + 5x + -5x

Combine like terms: -12 + 12 = 0
12 + -2adeqrsux + -6x + 2x2 = 0 + 2adeqrsux + -2adeqrsux + 5x + -5x
12 + -2adeqrsux + -6x + 2x2 = 2adeqrsux + -2adeqrsux + 5x + -5x

Combine like terms: 2adeqrsux + -2adeqrsux = 0
12 + -2adeqrsux + -6x + 2x2 = 0 + 5x + -5x
12 + -2adeqrsux + -6x + 2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -2adeqrsux + -6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -1adeqrsux + -3x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(6 + -1adeqrsux + -3x + x2)' equal to zero and attempt to solve: Simplifying 6 + -1adeqrsux + -3x + x2 = 0 Solving 6 + -1adeqrsux + -3x + x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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