2(2-3x^2)=5x

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Solution for 2(2-3x^2)=5x equation:


Simplifying
2(2 + -3x2) = 5x
(2 * 2 + -3x2 * 2) = 5x
(4 + -6x2) = 5x

Solving
4 + -6x2 = 5x

Solving for variable 'x'.

Reorder the terms:
4 + -5x + -6x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -5x + -6x2 = 0

Factor a trinomial.
(1 + -2x)(4 + 3x) = 0

Subproblem 1

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Subproblem 2

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Solution

x = {0.5, -1.333333333}

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