40x-18x(x-3)=468

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Solution for 40x-18x(x-3)=468 equation:


Simplifying
40x + -18x(x + -3) = 468

Reorder the terms:
40x + -18x(-3 + x) = 468
40x + (-3 * -18x + x * -18x) = 468
40x + (54x + -18x2) = 468

Combine like terms: 40x + 54x = 94x
94x + -18x2 = 468

Solving
94x + -18x2 = 468

Solving for variable 'x'.

Reorder the terms:
-468 + 94x + -18x2 = 468 + -468

Combine like terms: 468 + -468 = 0
-468 + 94x + -18x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-234 + 47x + -9x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-234 + 47x + -9x2)' equal to zero and attempt to solve: Simplifying -234 + 47x + -9x2 = 0 Solving -234 + 47x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 26 + -5.222222222x + x2 = 0 Move the constant term to the right: Add '-26' to each side of the equation. 26 + -5.222222222x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + -5.222222222x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -5.222222222x + x2 = 0 + -26 -5.222222222x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 -5.222222222x + x2 = -26 The x term is -5.222222222x. Take half its coefficient (-2.611111111). Square it (6.817901234) and add it to both sides. Add '6.817901234' to each side of the equation. -5.222222222x + 6.817901234 + x2 = -26 + 6.817901234 Reorder the terms: 6.817901234 + -5.222222222x + x2 = -26 + 6.817901234 Combine like terms: -26 + 6.817901234 = -19.182098766 6.817901234 + -5.222222222x + x2 = -19.182098766 Factor a perfect square on the left side: (x + -2.611111111)(x + -2.611111111) = -19.182098766 Can't calculate square root of the right side. 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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