(2x^2+7)(3-2x)=9

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Solution for (2x^2+7)(3-2x)=9 equation:


Simplifying
(2x2 + 7)(3 + -2x) = 9

Reorder the terms:
(7 + 2x2)(3 + -2x) = 9

Multiply (7 + 2x2) * (3 + -2x)
(7(3 + -2x) + 2x2 * (3 + -2x)) = 9
((3 * 7 + -2x * 7) + 2x2 * (3 + -2x)) = 9
((21 + -14x) + 2x2 * (3 + -2x)) = 9
(21 + -14x + (3 * 2x2 + -2x * 2x2)) = 9
(21 + -14x + (6x2 + -4x3)) = 9
(21 + -14x + 6x2 + -4x3) = 9

Solving
21 + -14x + 6x2 + -4x3 = 9

Solving for variable 'x'.

Reorder the terms:
21 + -9 + -14x + 6x2 + -4x3 = 9 + -9

Combine like terms: 21 + -9 = 12
12 + -14x + 6x2 + -4x3 = 9 + -9

Combine like terms: 9 + -9 = 0
12 + -14x + 6x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -7x + 3x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(6 + -7x + 3x2 + -2x3)' equal to zero and attempt to solve: Simplifying 6 + -7x + 3x2 + -2x3 = 0 Solving 6 + -7x + 3x2 + -2x3 = 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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