-12=x(14x-46)

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Solution for -12=x(14x-46) equation:


Simplifying
-12 = x(14x + -46)

Reorder the terms:
-12 = x(-46 + 14x)
-12 = (-46 * x + 14x * x)
-12 = (-46x + 14x2)

Solving
-12 = -46x + 14x2

Solving for variable 'x'.

Reorder the terms:
-12 + 46x + -14x2 = -46x + 46x + 14x2 + -14x2

Combine like terms: -46x + 46x = 0
-12 + 46x + -14x2 = 0 + 14x2 + -14x2
-12 + 46x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-12 + 46x + -14x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 23x + -7x2) = 0

Factor a trinomial.
2((-3 + x)(2 + -7x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

Solution

x = {3, 0.2857142857}

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