24x^2=-14x+3

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Solution for 24x^2=-14x+3 equation:


Simplifying
24x2 = -14x + 3

Reorder the terms:
24x2 = 3 + -14x

Solving
24x2 = 3 + -14x

Solving for variable 'x'.

Reorder the terms:
-3 + 14x + 24x2 = 3 + -14x + -3 + 14x

Reorder the terms:
-3 + 14x + 24x2 = 3 + -3 + -14x + 14x

Combine like terms: 3 + -3 = 0
-3 + 14x + 24x2 = 0 + -14x + 14x
-3 + 14x + 24x2 = -14x + 14x

Combine like terms: -14x + 14x = 0
-3 + 14x + 24x2 = 0

Factor a trinomial.
(-3 + -4x)(1 + -6x) = 0

Subproblem 1

Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667

Solution

x = {-0.75, 0.1666666667}

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