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Simplifying 4x2 + -5x + 7 = 7 Reorder the terms: 7 + -5x + 4x2 = 7 Add '-7' to each side of the equation. 7 + -5x + -7 + 4x2 = 7 + -7 Reorder the terms: 7 + -7 + -5x + 4x2 = 7 + -7 Combine like terms: 7 + -7 = 0 0 + -5x + 4x2 = 7 + -7 -5x + 4x2 = 7 + -7 Combine like terms: 7 + -7 = 0 -5x + 4x2 = 0 Solving -5x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 4x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-5 + 4x)' equal to zero and attempt to solve: Simplifying -5 + 4x = 0 Solving -5 + 4x = 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 + 4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 0 + 5 4x = 0 + 5 Combine like terms: 0 + 5 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25Solution
x = {0, 1.25}
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