(5x*5x)-5x-30=0

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Solution for (5x*5x)-5x-30=0 equation:


Simplifying
(5x * 5x) + -5x + -30 = 0

Reorder the terms for easier multiplication:
(5 * 5x * x) + -5x + -30 = 0

Multiply 5 * 5
(25x * x) + -5x + -30 = 0

Multiply x * x
(25x2) + -5x + -30 = 0

Reorder the terms:
-30 + -5x + (25x2) = 0

Solving
-30 + -5x + (25x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + -1x + (5x2)) = 0

Factor a trinomial.
5((-1 + -1x)(6 + -5x)) = 0

Ignore the factor 5.

Subproblem 1

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

Subproblem 2

Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2

Solution

x = {-1, 1.2}

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