2x^2+175x+3750=9375

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Solution for 2x^2+175x+3750=9375 equation:


Simplifying
2x2 + 175x + 3750 = 9375

Reorder the terms:
3750 + 175x + 2x2 = 9375

Solving
3750 + 175x + 2x2 = 9375

Solving for variable 'x'.

Reorder the terms:
3750 + -9375 + 175x + 2x2 = 9375 + -9375

Combine like terms: 3750 + -9375 = -5625
-5625 + 175x + 2x2 = 9375 + -9375

Combine like terms: 9375 + -9375 = 0
-5625 + 175x + 2x2 = 0

Factor a trinomial.
(-225 + -2x)(25 + -1x) = 0

Subproblem 1

Set the factor '(-225 + -2x)' equal to zero and attempt to solve: Simplifying -225 + -2x = 0 Solving -225 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '225' to each side of the equation. -225 + 225 + -2x = 0 + 225 Combine like terms: -225 + 225 = 0 0 + -2x = 0 + 225 -2x = 0 + 225 Combine like terms: 0 + 225 = 225 -2x = 225 Divide each side by '-2'. x = -112.5 Simplifying x = -112.5

Subproblem 2

Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25

Solution

x = {-112.5, 25}

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