7x^2-5x-48=0

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Solution for 7x^2-5x-48=0 equation:


Simplifying
7x2 + -5x + -48 = 0

Reorder the terms:
-48 + -5x + 7x2 = 0

Solving
-48 + -5x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-16 + -7x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-16 + -7x)' equal to zero and attempt to solve: Simplifying -16 + -7x = 0 Solving -16 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -7x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -7x = 0 + 16 -7x = 0 + 16 Combine like terms: 0 + 16 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286

Subproblem 2

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

Solution

x = {-2.285714286, 3}

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