6x^2=150+25x

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Solution for 6x^2=150+25x equation:


Simplifying
6x2 = 150 + 25x

Solving
6x2 = 150 + 25x

Solving for variable 'x'.

Reorder the terms:
-150 + -25x + 6x2 = 150 + 25x + -150 + -25x

Reorder the terms:
-150 + -25x + 6x2 = 150 + -150 + 25x + -25x

Combine like terms: 150 + -150 = 0
-150 + -25x + 6x2 = 0 + 25x + -25x
-150 + -25x + 6x2 = 25x + -25x

Combine like terms: 25x + -25x = 0
-150 + -25x + 6x2 = 0

Factor a trinomial.
(-10 + -3x)(15 + -2x) = 0

Subproblem 1

Set the factor '(-10 + -3x)' equal to zero and attempt to solve: Simplifying -10 + -3x = 0 Solving -10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 0 + 10 -3x = 0 + 10 Combine like terms: 0 + 10 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333

Subproblem 2

Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5

Solution

x = {-3.333333333, 7.5}

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