4x+18=6x(x+3)-2r

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Solution for 4x+18=6x(x+3)-2r equation:


Simplifying
4x + 18 = 6x(x + 3) + -2r

Reorder the terms:
18 + 4x = 6x(x + 3) + -2r

Reorder the terms:
18 + 4x = 6x(3 + x) + -2r
18 + 4x = (3 * 6x + x * 6x) + -2r
18 + 4x = (18x + 6x2) + -2r

Reorder the terms:
18 + 4x = -2r + 18x + 6x2

Solving
18 + 4x = -2r + 18x + 6x2

Solving for variable 'x'.

Reorder the terms:
18 + 2r + 4x + -18x + -6x2 = -2r + 18x + 6x2 + 2r + -18x + -6x2

Combine like terms: 4x + -18x = -14x
18 + 2r + -14x + -6x2 = -2r + 18x + 6x2 + 2r + -18x + -6x2

Reorder the terms:
18 + 2r + -14x + -6x2 = -2r + 2r + 18x + -18x + 6x2 + -6x2

Combine like terms: -2r + 2r = 0
18 + 2r + -14x + -6x2 = 0 + 18x + -18x + 6x2 + -6x2
18 + 2r + -14x + -6x2 = 18x + -18x + 6x2 + -6x2

Combine like terms: 18x + -18x = 0
18 + 2r + -14x + -6x2 = 0 + 6x2 + -6x2
18 + 2r + -14x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
18 + 2r + -14x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + r + -7x + -3x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + r + -7x + -3x2)' equal to zero and attempt to solve: Simplifying 9 + r + -7x + -3x2 = 0 Solving 9 + r + -7x + -3x2 = 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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