2x(6x+4)=120800

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Solution for 2x(6x+4)=120800 equation:


Simplifying
2x(6x + 4) = 120800

Reorder the terms:
2x(4 + 6x) = 120800
(4 * 2x + 6x * 2x) = 120800
(8x + 12x2) = 120800

Solving
8x + 12x2 = 120800

Solving for variable 'x'.

Reorder the terms:
-120800 + 8x + 12x2 = 120800 + -120800

Combine like terms: 120800 + -120800 = 0
-120800 + 8x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-30200 + 2x + 3x2) = 0

Factor a trinomial.
4((-302 + -3x)(100 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-302 + -3x)' equal to zero and attempt to solve: Simplifying -302 + -3x = 0 Solving -302 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '302' to each side of the equation. -302 + 302 + -3x = 0 + 302 Combine like terms: -302 + 302 = 0 0 + -3x = 0 + 302 -3x = 0 + 302 Combine like terms: 0 + 302 = 302 -3x = 302 Divide each side by '-3'. x = -100.6666667 Simplifying x = -100.6666667

Subproblem 2

Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100

Solution

x = {-100.6666667, 100}

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