15x^2-7x-46=0

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Solution for 15x^2-7x-46=0 equation:


Simplifying
15x2 + -7x + -46 = 0

Reorder the terms:
-46 + -7x + 15x2 = 0

Solving
-46 + -7x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-23 + -15x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-23 + -15x)' equal to zero and attempt to solve: Simplifying -23 + -15x = 0 Solving -23 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -15x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -15x = 0 + 23 -15x = 0 + 23 Combine like terms: 0 + 23 = 23 -15x = 23 Divide each side by '-15'. x = -1.533333333 Simplifying x = -1.533333333

Subproblem 2

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

Solution

x = {-1.533333333, 2}

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