3x^2=15-4x

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Solution for 3x^2=15-4x equation:


Simplifying
3x2 = 15 + -4x

Solving
3x2 = 15 + -4x

Solving for variable 'x'.

Reorder the terms:
-15 + 4x + 3x2 = 15 + -4x + -15 + 4x

Reorder the terms:
-15 + 4x + 3x2 = 15 + -15 + -4x + 4x

Combine like terms: 15 + -15 = 0
-15 + 4x + 3x2 = 0 + -4x + 4x
-15 + 4x + 3x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 4x + 3x2 = 0

Factor a trinomial.
(-3 + -1x)(5 + -3x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {-3, 1.666666667}

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