-10x^2+6x+448=0

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Solution for -10x^2+6x+448=0 equation:


Simplifying
-10x2 + 6x + 448 = 0

Reorder the terms:
448 + 6x + -10x2 = 0

Solving
448 + 6x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(224 + 3x + -5x2) = 0

Factor a trinomial.
2((7 + -1x)(32 + 5x)) = 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 '(32 + 5x)' equal to zero and attempt to solve: Simplifying 32 + 5x = 0 Solving 32 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 5x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = 0 + -32 5x = 0 + -32 Combine like terms: 0 + -32 = -32 5x = -32 Divide each side by '5'. x = -6.4 Simplifying x = -6.4

Solution

x = {7, -6.4}

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