(2)x*x+98=28x

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Solution for (2)x*x+98=28x equation:


Simplifying
(2) * x * x + 98 = 28x

Multiply x * x
2x2 + 98 = 28x

Reorder the terms:
98 + 2x2 = 28x

Solving
98 + 2x2 = 28x

Solving for variable 'x'.

Reorder the terms:
98 + -28x + 2x2 = 28x + -28x

Combine like terms: 28x + -28x = 0
98 + -28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + -14x + x2) = 0

Factor a trinomial.
2((7 + -1x)(7 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {7, 7}

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