1188=-2x^2+98x

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Solution for 1188=-2x^2+98x equation:


Simplifying
1188 = -2x2 + 98x

Reorder the terms:
1188 = 98x + -2x2

Solving
1188 = 98x + -2x2

Solving for variable 'x'.

Reorder the terms:
1188 + -98x + 2x2 = 98x + -98x + -2x2 + 2x2

Combine like terms: 98x + -98x = 0
1188 + -98x + 2x2 = 0 + -2x2 + 2x2
1188 + -98x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
1188 + -98x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(594 + -49x + x2) = 0

Factor a trinomial.
2((22 + -1x)(27 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22

Subproblem 2

Set the factor '(27 + -1x)' equal to zero and attempt to solve: Simplifying 27 + -1x = 0 Solving 27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 0 + -27 -1x = 0 + -27 Combine like terms: 0 + -27 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27

Solution

x = {22, 27}

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