4x^2-220x+2800=1456

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Solution for 4x^2-220x+2800=1456 equation:


Simplifying
4x2 + -220x + 2800 = 1456

Reorder the terms:
2800 + -220x + 4x2 = 1456

Solving
2800 + -220x + 4x2 = 1456

Solving for variable 'x'.

Reorder the terms:
2800 + -1456 + -220x + 4x2 = 1456 + -1456

Combine like terms: 2800 + -1456 = 1344
1344 + -220x + 4x2 = 1456 + -1456

Combine like terms: 1456 + -1456 = 0
1344 + -220x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(336 + -55x + x2) = 0

Factor a trinomial.
4((7 + -1x)(48 + -1x)) = 0

Ignore the factor 4.

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 '(48 + -1x)' equal to zero and attempt to solve: Simplifying 48 + -1x = 0 Solving 48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 0 + -48 -1x = 0 + -48 Combine like terms: 0 + -48 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48

Solution

x = {7, 48}

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