-(3x^2+4x-175)=0

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Solution for -(3x^2+4x-175)=0 equation: 


Simplifying
-1(3x2 + 4x + -175) = 0

Reorder the terms:
-1(-175 + 4x + 3x2) = 0
(-175 * -1 + 4x * -1 + 3x2 * -1) = 0
(175 + -4x + -3x2) = 0

Solving
175 + -4x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -1x)(25 + 3x) = 0


Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(25 + 3x)' equal to zero and attempt to solve:

Simplifying
25 + 3x = 0

Solving
25 + 3x = 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 + 3x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 3x = 0 + -25
3x = 0 + -25

Combine like terms: 0 + -25 = -25
3x = -25

Divide each side by '3'.
x = -8.333333333

Simplifying
x = -8.333333333
Solution
x = {7, -8.333333333}

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