8x(3x-22)=30

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Solution for 8x(3x-22)=30 equation:


Simplifying
8x(3x + -22) = 30

Reorder the terms:
8x(-22 + 3x) = 30
(-22 * 8x + 3x * 8x) = 30
(-176x + 24x2) = 30

Solving
-176x + 24x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + -176x + 24x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -176x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -88x + 12x2) = 0

Factor a trinomial.
2((-1 + -6x)(15 + -2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -6x)' equal to zero and attempt to solve: Simplifying -1 + -6x = 0 Solving -1 + -6x = 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 + -6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 0 + 1 -6x = 0 + 1 Combine like terms: 0 + 1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667

Subproblem 2

Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5

Solution

x = {-0.1666666667, 7.5}

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