0=2x^2-5x-700

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Solution for 0=2x^2-5x-700 equation:


Simplifying
0 = 2x2 + -5x + -700

Reorder the terms:
0 = -700 + -5x + 2x2

Solving
0 = -700 + -5x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 700 = 700
700 + 5x + -2x2 = -700 + -5x + 2x2 + 700 + 5x + -2x2

Reorder the terms:
700 + 5x + -2x2 = -700 + 700 + -5x + 5x + 2x2 + -2x2

Combine like terms: -700 + 700 = 0
700 + 5x + -2x2 = 0 + -5x + 5x + 2x2 + -2x2
700 + 5x + -2x2 = -5x + 5x + 2x2 + -2x2

Combine like terms: -5x + 5x = 0
700 + 5x + -2x2 = 0 + 2x2 + -2x2
700 + 5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
700 + 5x + -2x2 = 0

Factor a trinomial.
(20 + -1x)(35 + 2x) = 0

Subproblem 1

Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20

Subproblem 2

Set the factor '(35 + 2x)' equal to zero and attempt to solve: Simplifying 35 + 2x = 0 Solving 35 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 2x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 0 + -35 2x = 0 + -35 Combine like terms: 0 + -35 = -35 2x = -35 Divide each side by '2'. x = -17.5 Simplifying x = -17.5

Solution

x = {20, -17.5}

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