9x^2-30x-28=-4

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Solution for 9x^2-30x-28=-4 equation:


Simplifying
9x2 + -30x + -28 = -4

Reorder the terms:
-28 + -30x + 9x2 = -4

Solving
-28 + -30x + 9x2 = -4

Solving for variable 'x'.

Reorder the terms:
-28 + 4 + -30x + 9x2 = -4 + 4

Combine like terms: -28 + 4 = -24
-24 + -30x + 9x2 = -4 + 4

Combine like terms: -4 + 4 = 0
-24 + -30x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + -10x + 3x2) = 0

Factor a trinomial.
3((-2 + -3x)(4 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 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 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-0.6666666667, 4}

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