5x^2-24=7x

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Solution for 5x^2-24=7x equation:


Simplifying
5x2 + -24 = 7x

Reorder the terms:
-24 + 5x2 = 7x

Solving
-24 + 5x2 = 7x

Solving for variable 'x'.

Reorder the terms:
-24 + -7x + 5x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + -7x + 5x2 = 0

Factor a trinomial.
(-8 + -5x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6

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 = {-1.6, 3}

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