190=2x^2+4x(7)

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Solution for 190=2x^2+4x(7) equation:


Simplifying
190 = 2x2 + 4x(7)

Reorder the terms for easier multiplication:
190 = 2x2 + 4 * 7x

Multiply 4 * 7
190 = 2x2 + 28x

Reorder the terms:
190 = 28x + 2x2

Solving
190 = 28x + 2x2

Solving for variable 'x'.

Reorder the terms:
190 + -28x + -2x2 = 28x + -28x + 2x2 + -2x2

Combine like terms: 28x + -28x = 0
190 + -28x + -2x2 = 0 + 2x2 + -2x2
190 + -28x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
190 + -28x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(95 + -14x + -1x2) = 0

Factor a trinomial.
2((5 + -1x)(19 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Subproblem 2

Set the factor '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Simplifying x = -19

Solution

x = {5, -19}

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